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Finding the Fourth Proportional to 38,978.34, 58,457.78 and 15,290.70

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Solution

The fourth proportional to 38,978.34, 58,457.78 and 15,290.70 is: 22,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,978.34 : 58,457.78 = 15,290.70 : x
  2. Step 2: Convert to fraction form
    38,978.34/58,457.78 = 15,290.70/x
  3. Step 3: Cross multiply
    38,978.34x = 58,457.78 × 15,290.70
  4. Step 4: Simplify right side
    38,978.34x = 893,860,376.65
  5. Step 5: Solve for x
    x = 893,860,376.65/38,978.34
  6. Step 6: Final answer
    x = 22,932.23

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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.