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Finding the Fourth Proportional to 5,158.64, 7,737.28 and 1,461.20

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Solution

The fourth proportional to 5,158.64, 7,737.28 and 1,461.20 is: 2,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.64 : 7,737.28 = 1,461.20 : x
  2. Step 2: Convert to fraction form
    5,158.64/7,737.28 = 1,461.20/x
  3. Step 3: Cross multiply
    5,158.64x = 7,737.28 × 1,461.20
  4. Step 4: Simplify right side
    5,158.64x = 11,305,671.20
  5. Step 5: Solve for x
    x = 11,305,671.20/5,158.64
  6. Step 6: Final answer
    x = 2,191.60

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1.5x scale

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.