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Finding the Fourth Proportional to 38,582.53, 57,878.04 and 12,281.11

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Solution

The fourth proportional to 38,582.53, 57,878.04 and 12,281.11 is: 18,423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,582.53 : 57,878.04 = 12,281.11 : x
  2. Step 2: Convert to fraction form
    38,582.53/57,878.04 = 12,281.11/x
  3. Step 3: Cross multiply
    38,582.53x = 57,878.04 × 12,281.11
  4. Step 4: Simplify right side
    38,582.53x = 710,806,575.82
  5. Step 5: Solve for x
    x = 710,806,575.82/38,582.53
  6. Step 6: Final answer
    x = 18,423.02

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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.