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Finding the Fourth Proportional to 10,265.60, 15,391.20 and 4,023.20

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Solution

The fourth proportional to 10,265.60, 15,391.20 and 4,023.20 is: 6,031.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.60 : 15,391.20 = 4,023.20 : x
  2. Step 2: Convert to fraction form
    10,265.60/15,391.20 = 4,023.20/x
  3. Step 3: Cross multiply
    10,265.60x = 15,391.20 × 4,023.20
  4. Step 4: Simplify right side
    10,265.60x = 61,921,875.84
  5. Step 5: Solve for x
    x = 61,921,875.84/10,265.60
  6. Step 6: Final answer
    x = 6,031.98

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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.