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Finding the Fourth Proportional to 42,575, 63,891.84 and 14,873

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Solution

The fourth proportional to 42,575, 63,891.84 and 14,873 is: 22,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,575 : 63,891.84 = 14,873 : x
  2. Step 2: Convert to fraction form
    42,575/63,891.84 = 14,873/x
  3. Step 3: Cross multiply
    42,575x = 63,891.84 × 14,873
  4. Step 4: Simplify right side
    42,575x = 950,263,336.32
  5. Step 5: Solve for x
    x = 950,263,336.32/42,575
  6. Step 6: Final answer
    x = 22,319.75

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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.