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Finding the Fourth Proportional to 42,577, 63,894.84 and 14,875

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Solution

The fourth proportional to 42,577, 63,894.84 and 14,875 is: 22,322.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,577 : 63,894.84 = 14,875 : x
  2. Step 2: Convert to fraction form
    42,577/63,894.84 = 14,875/x
  3. Step 3: Cross multiply
    42,577x = 63,894.84 × 14,875
  4. Step 4: Simplify right side
    42,577x = 950,435,745
  5. Step 5: Solve for x
    x = 950,435,745/42,577
  6. Step 6: Final answer
    x = 22,322.75

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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.