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Finding the Fourth Proportional to 25,600.32, 38,396.16 and 7,128

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Solution

The fourth proportional to 25,600.32, 38,396.16 and 7,128 is: 10,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.32 : 38,396.16 = 7,128 : x
  2. Step 2: Convert to fraction form
    25,600.32/38,396.16 = 7,128/x
  3. Step 3: Cross multiply
    25,600.32x = 38,396.16 × 7,128
  4. Step 4: Simplify right side
    25,600.32x = 273,687,828.48
  5. Step 5: Solve for x
    x = 273,687,828.48/25,600.32
  6. Step 6: Final answer
    x = 10,690.80

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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.