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Finding the Fourth Proportional to 5,676.64, 8,515.68 and 1,780.72

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Solution

The fourth proportional to 5,676.64, 8,515.68 and 1,780.72 is: 2,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.64 : 8,515.68 = 1,780.72 : x
  2. Step 2: Convert to fraction form
    5,676.64/8,515.68 = 1,780.72/x
  3. Step 3: Cross multiply
    5,676.64x = 8,515.68 × 1,780.72
  4. Step 4: Simplify right side
    5,676.64x = 15,164,041.69
  5. Step 5: Solve for x
    x = 15,164,041.69/5,676.64
  6. Step 6: Final answer
    x = 2,671.31

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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.