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Finding the Fourth Proportional to 15,312.47, 22,978.49 and 9,769.77

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Solution

The fourth proportional to 15,312.47, 22,978.49 and 9,769.77 is: 14,660.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.47 : 22,978.49 = 9,769.77 : x
  2. Step 2: Convert to fraction form
    15,312.47/22,978.49 = 9,769.77/x
  3. Step 3: Cross multiply
    15,312.47x = 22,978.49 × 9,769.77
  4. Step 4: Simplify right side
    15,312.47x = 224,494,513.40
  5. Step 5: Solve for x
    x = 224,494,513.40/15,312.47
  6. Step 6: Final answer
    x = 14,660.90

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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.