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Finding the Fourth Proportional to 42,552, 63,828 and 11,386.44

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Solution

The fourth proportional to 42,552, 63,828 and 11,386.44 is: 17,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,552 : 63,828 = 11,386.44 : x
  2. Step 2: Convert to fraction form
    42,552/63,828 = 11,386.44/x
  3. Step 3: Cross multiply
    42,552x = 63,828 × 11,386.44
  4. Step 4: Simplify right side
    42,552x = 726,773,692.32
  5. Step 5: Solve for x
    x = 726,773,692.32/42,552
  6. Step 6: Final answer
    x = 17,079.66

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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.