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Finding the Fourth Proportional to 25,695.40, 38,543.10 and 11,871.40

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Solution

The fourth proportional to 25,695.40, 38,543.10 and 11,871.40 is: 17,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.40 : 38,543.10 = 11,871.40 : x
  2. Step 2: Convert to fraction form
    25,695.40/38,543.10 = 11,871.40/x
  3. Step 3: Cross multiply
    25,695.40x = 38,543.10 × 11,871.40
  4. Step 4: Simplify right side
    25,695.40x = 457,560,557.34
  5. Step 5: Solve for x
    x = 457,560,557.34/25,695.40
  6. Step 6: Final answer
    x = 17,807.10

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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.