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Finding the Fourth Proportional to 25,364.76, 38,051.92 and 7,830.49

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Solution

The fourth proportional to 25,364.76, 38,051.92 and 7,830.49 is: 11,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,364.76 : 38,051.92 = 7,830.49 : x
  2. Step 2: Convert to fraction form
    25,364.76/38,051.92 = 7,830.49/x
  3. Step 3: Cross multiply
    25,364.76x = 38,051.92 × 7,830.49
  4. Step 4: Simplify right side
    25,364.76x = 297,964,988.78
  5. Step 5: Solve for x
    x = 297,964,988.78/25,364.76
  6. Step 6: Final answer
    x = 11,747.20

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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.