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Finding the Fourth Proportional to 25,800.42, 38,702.43 and 10,218

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Solution

The fourth proportional to 25,800.42, 38,702.43 and 10,218 is: 15,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.42 : 38,702.43 = 10,218 : x
  2. Step 2: Convert to fraction form
    25,800.42/38,702.43 = 10,218/x
  3. Step 3: Cross multiply
    25,800.42x = 38,702.43 × 10,218
  4. Step 4: Simplify right side
    25,800.42x = 395,461,429.74
  5. Step 5: Solve for x
    x = 395,461,429.74/25,800.42
  6. Step 6: Final answer
    x = 15,327.71

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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.