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Finding the Fourth Proportional to 7,671.60, 11,496.60 and 5,681.70

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Solution

The fourth proportional to 7,671.60, 11,496.60 and 5,681.70 is: 8,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.60 : 11,496.60 = 5,681.70 : x
  2. Step 2: Convert to fraction form
    7,671.60/11,496.60 = 5,681.70/x
  3. Step 3: Cross multiply
    7,671.60x = 11,496.60 × 5,681.70
  4. Step 4: Simplify right side
    7,671.60x = 65,320,232.22
  5. Step 5: Solve for x
    x = 65,320,232.22/7,671.60
  6. Step 6: Final answer
    x = 8,514.55

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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.