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Finding the Fourth Proportional to 25,490.72, 38,216.64 and 11,630

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Solution

The fourth proportional to 25,490.72, 38,216.64 and 11,630 is: 17,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,490.72 : 38,216.64 = 11,630 : x
  2. Step 2: Convert to fraction form
    25,490.72/38,216.64 = 11,630/x
  3. Step 3: Cross multiply
    25,490.72x = 38,216.64 × 11,630
  4. Step 4: Simplify right side
    25,490.72x = 444,459,523.20
  5. Step 5: Solve for x
    x = 444,459,523.20/25,490.72
  6. Step 6: Final answer
    x = 17,436.13

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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.