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Finding the Fourth Proportional to 42,374.12, 63,564.22 and 11,209

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Solution

The fourth proportional to 42,374.12, 63,564.22 and 11,209 is: 16,814.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,374.12 : 63,564.22 = 11,209 : x
  2. Step 2: Convert to fraction form
    42,374.12/63,564.22 = 11,209/x
  3. Step 3: Cross multiply
    42,374.12x = 63,564.22 × 11,209
  4. Step 4: Simplify right side
    42,374.12x = 712,491,341.98
  5. Step 5: Solve for x
    x = 712,491,341.98/42,374.12
  6. Step 6: Final answer
    x = 16,814.30

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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.