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Finding the Fourth Proportional to 25,599.68, 38,400 and 10,017.92

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Solution

The fourth proportional to 25,599.68, 38,400 and 10,017.92 is: 15,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,599.68 : 38,400 = 10,017.92 : x
  2. Step 2: Convert to fraction form
    25,599.68/38,400 = 10,017.92/x
  3. Step 3: Cross multiply
    25,599.68x = 38,400 × 10,017.92
  4. Step 4: Simplify right side
    25,599.68x = 384,688,128
  5. Step 5: Solve for x
    x = 384,688,128/25,599.68
  6. Step 6: Final answer
    x = 15,027.07

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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.