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Finding the Fourth Proportional to 5,671.42, 8,506.82 and 1,775.72

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Solution

The fourth proportional to 5,671.42, 8,506.82 and 1,775.72 is: 2,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.42 : 8,506.82 = 1,775.72 : x
  2. Step 2: Convert to fraction form
    5,671.42/8,506.82 = 1,775.72/x
  3. Step 3: Cross multiply
    5,671.42x = 8,506.82 × 1,775.72
  4. Step 4: Simplify right side
    5,671.42x = 15,105,756.12
  5. Step 5: Solve for x
    x = 15,105,756.12/5,671.42
  6. Step 6: Final answer
    x = 2,663.49

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Half scale
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Double scale
Find fourth proportional to 5,672.42, 8,508.32 and 1,776.72
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.