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Finding the Fourth Proportional to 5,420.64, 8,129.76 and 1,524

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Solution

The fourth proportional to 5,420.64, 8,129.76 and 1,524 is: 2,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.64 : 8,129.76 = 1,524 : x
  2. Step 2: Convert to fraction form
    5,420.64/8,129.76 = 1,524/x
  3. Step 3: Cross multiply
    5,420.64x = 8,129.76 × 1,524
  4. Step 4: Simplify right side
    5,420.64x = 12,389,754.24
  5. Step 5: Solve for x
    x = 12,389,754.24/5,420.64
  6. Step 6: Final answer
    x = 2,285.66

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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.