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Finding the Fourth Proportional to 8,478.43, 12,710.75 and 7,322.15

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Solution

The fourth proportional to 8,478.43, 12,710.75 and 7,322.15 is: 10,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.43 : 12,710.75 = 7,322.15 : x
  2. Step 2: Convert to fraction form
    8,478.43/12,710.75 = 7,322.15/x
  3. Step 3: Cross multiply
    8,478.43x = 12,710.75 × 7,322.15
  4. Step 4: Simplify right side
    8,478.43x = 93,070,013.28
  5. Step 5: Solve for x
    x = 93,070,013.28/8,478.43
  6. Step 6: Final answer
    x = 10,977.27

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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.