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Finding the Fourth Proportional to 25,600.64, 38,406.12 and 10,018

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Solution

The fourth proportional to 25,600.64, 38,406.12 and 10,018 is: 15,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.64 : 38,406.12 = 10,018 : x
  2. Step 2: Convert to fraction form
    25,600.64/38,406.12 = 10,018/x
  3. Step 3: Cross multiply
    25,600.64x = 38,406.12 × 10,018
  4. Step 4: Simplify right side
    25,600.64x = 384,752,510.16
  5. Step 5: Solve for x
    x = 384,752,510.16/25,600.64
  6. Step 6: Final answer
    x = 15,029.02

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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.