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Finding the Fourth Proportional to 38,280, 57,421.32 and 13,320.30

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Solution

The fourth proportional to 38,280, 57,421.32 and 13,320.30 is: 19,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,280 : 57,421.32 = 13,320.30 : x
  2. Step 2: Convert to fraction form
    38,280/57,421.32 = 13,320.30/x
  3. Step 3: Cross multiply
    38,280x = 57,421.32 × 13,320.30
  4. Step 4: Simplify right side
    38,280x = 764,869,208.80
  5. Step 5: Solve for x
    x = 764,869,208.80/38,280
  6. Step 6: Final answer
    x = 19,980.91

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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.