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Finding the Fourth Proportional to 8,970.57, 13,430.25 and 7,124.31

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Solution

The fourth proportional to 8,970.57, 13,430.25 and 7,124.31 is: 10,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.57 : 13,430.25 = 7,124.31 : x
  2. Step 2: Convert to fraction form
    8,970.57/13,430.25 = 7,124.31/x
  3. Step 3: Cross multiply
    8,970.57x = 13,430.25 × 7,124.31
  4. Step 4: Simplify right side
    8,970.57x = 95,681,264.38
  5. Step 5: Solve for x
    x = 95,681,264.38/8,970.57
  6. Step 6: Final answer
    x = 10,666.13

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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.