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Finding the Fourth Proportional to 25,189.92, 37,788.80 and 7,658.24

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Solution

The fourth proportional to 25,189.92, 37,788.80 and 7,658.24 is: 11,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.92 : 37,788.80 = 7,658.24 : x
  2. Step 2: Convert to fraction form
    25,189.92/37,788.80 = 7,658.24/x
  3. Step 3: Cross multiply
    25,189.92x = 37,788.80 × 7,658.24
  4. Step 4: Simplify right side
    25,189.92x = 289,395,699.71
  5. Step 5: Solve for x
    x = 289,395,699.71/25,189.92
  6. Step 6: Final answer
    x = 11,488.55

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1.5x scale

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.