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Finding the Fourth Proportional to 25,953.84, 38,941.92 and 8,429.04

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Solution

The fourth proportional to 25,953.84, 38,941.92 and 8,429.04 is: 12,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,953.84 : 38,941.92 = 8,429.04 : x
  2. Step 2: Convert to fraction form
    25,953.84/38,941.92 = 8,429.04/x
  3. Step 3: Cross multiply
    25,953.84x = 38,941.92 × 8,429.04
  4. Step 4: Simplify right side
    25,953.84x = 328,243,001.36
  5. Step 5: Solve for x
    x = 328,243,001.36/25,953.84
  6. Step 6: Final answer
    x = 12,647.18

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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.