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Finding the Fourth Proportional to 14,864.62, 20,508.78 and 8,491

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Solution

The fourth proportional to 14,864.62, 20,508.78 and 8,491 is: 11,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,864.62 : 20,508.78 = 8,491 : x
  2. Step 2: Convert to fraction form
    14,864.62/20,508.78 = 8,491/x
  3. Step 3: Cross multiply
    14,864.62x = 20,508.78 × 8,491
  4. Step 4: Simplify right side
    14,864.62x = 174,140,050.98
  5. Step 5: Solve for x
    x = 174,140,050.98/14,864.62
  6. Step 6: Final answer
    x = 11,715.07

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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.