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Finding the Fourth Proportional to 8,661.40, 12,971.47 and 5,531.71

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Solution

The fourth proportional to 8,661.40, 12,971.47 and 5,531.71 is: 8,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.40 : 12,971.47 = 5,531.71 : x
  2. Step 2: Convert to fraction form
    8,661.40/12,971.47 = 5,531.71/x
  3. Step 3: Cross multiply
    8,661.40x = 12,971.47 × 5,531.71
  4. Step 4: Simplify right side
    8,661.40x = 71,754,410.31
  5. Step 5: Solve for x
    x = 71,754,410.31/8,661.40
  6. Step 6: Final answer
    x = 8,284.39

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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.