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Finding the Fourth Proportional to 42,563, 63,844.50 and 13,379

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Solution

The fourth proportional to 42,563, 63,844.50 and 13,379 is: 20,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,563 : 63,844.50 = 13,379 : x
  2. Step 2: Convert to fraction form
    42,563/63,844.50 = 13,379/x
  3. Step 3: Cross multiply
    42,563x = 63,844.50 × 13,379
  4. Step 4: Simplify right side
    42,563x = 854,175,565.50
  5. Step 5: Solve for x
    x = 854,175,565.50/42,563
  6. Step 6: Final answer
    x = 20,068.50

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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.