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Finding the Fourth Proportional to 10,478.92, 14,443.50 and 8,988.52

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Solution

The fourth proportional to 10,478.92, 14,443.50 and 8,988.52 is: 12,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.92 : 14,443.50 = 8,988.52 : x
  2. Step 2: Convert to fraction form
    10,478.92/14,443.50 = 8,988.52/x
  3. Step 3: Cross multiply
    10,478.92x = 14,443.50 × 8,988.52
  4. Step 4: Simplify right side
    10,478.92x = 129,825,688.62
  5. Step 5: Solve for x
    x = 129,825,688.62/10,478.92
  6. Step 6: Final answer
    x = 12,389.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.