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Finding the Fourth Proportional to 38,675.10, 57,978.90 and 14,998.80

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Solution

The fourth proportional to 38,675.10, 57,978.90 and 14,998.80 is: 22,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675.10 : 57,978.90 = 14,998.80 : x
  2. Step 2: Convert to fraction form
    38,675.10/57,978.90 = 14,998.80/x
  3. Step 3: Cross multiply
    38,675.10x = 57,978.90 × 14,998.80
  4. Step 4: Simplify right side
    38,675.10x = 869,613,925.32
  5. Step 5: Solve for x
    x = 869,613,925.32/38,675.10
  6. Step 6: Final answer
    x = 22,485.11

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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.