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Finding the Fourth Proportional to 25,871.40, 38,807.51 and 8,102.53

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Solution

The fourth proportional to 25,871.40, 38,807.51 and 8,102.53 is: 12,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.40 : 38,807.51 = 8,102.53 : x
  2. Step 2: Convert to fraction form
    25,871.40/38,807.51 = 8,102.53/x
  3. Step 3: Cross multiply
    25,871.40x = 38,807.51 × 8,102.53
  4. Step 4: Simplify right side
    25,871.40x = 314,439,022.00
  5. Step 5: Solve for x
    x = 314,439,022.00/25,871.40
  6. Step 6: Final answer
    x = 12,153.92

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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.