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Finding the Fourth Proportional to 5,148.84, 7,723.20 and 1,253.24

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Solution

The fourth proportional to 5,148.84, 7,723.20 and 1,253.24 is: 1,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.84 : 7,723.20 = 1,253.24 : x
  2. Step 2: Convert to fraction form
    5,148.84/7,723.20 = 1,253.24/x
  3. Step 3: Cross multiply
    5,148.84x = 7,723.20 × 1,253.24
  4. Step 4: Simplify right side
    5,148.84x = 9,679,023.17
  5. Step 5: Solve for x
    x = 9,679,023.17/5,148.84
  6. Step 6: Final answer
    x = 1,879.85

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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.