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Finding the Fourth Proportional to 18,312, 27,468.29 and 5,164.71

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Solution

The fourth proportional to 18,312, 27,468.29 and 5,164.71 is: 7,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,312 : 27,468.29 = 5,164.71 : x
  2. Step 2: Convert to fraction form
    18,312/27,468.29 = 5,164.71/x
  3. Step 3: Cross multiply
    18,312x = 27,468.29 × 5,164.71
  4. Step 4: Simplify right side
    18,312x = 141,865,726.22
  5. Step 5: Solve for x
    x = 141,865,726.22/18,312
  6. Step 6: Final answer
    x = 7,747.15

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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.