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Finding the Fourth Proportional to 42,582, 63,874.08 and 14,880

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Solution

The fourth proportional to 42,582, 63,874.08 and 14,880 is: 22,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,582 : 63,874.08 = 14,880 : x
  2. Step 2: Convert to fraction form
    42,582/63,874.08 = 14,880/x
  3. Step 3: Cross multiply
    42,582x = 63,874.08 × 14,880
  4. Step 4: Simplify right side
    42,582x = 950,446,310.40
  5. Step 5: Solve for x
    x = 950,446,310.40/42,582
  6. Step 6: Final answer
    x = 22,320.38

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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.