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Finding the Fourth Proportional to 10,423.68, 14,384.79 and 6,443.88

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Solution

The fourth proportional to 10,423.68, 14,384.79 and 6,443.88 is: 8,892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.68 : 14,384.79 = 6,443.88 : x
  2. Step 2: Convert to fraction form
    10,423.68/14,384.79 = 6,443.88/x
  3. Step 3: Cross multiply
    10,423.68x = 14,384.79 × 6,443.88
  4. Step 4: Simplify right side
    10,423.68x = 92,693,860.59
  5. Step 5: Solve for x
    x = 92,693,860.59/10,423.68
  6. Step 6: Final answer
    x = 8,892.62

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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.