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Finding the Fourth Proportional to 5,243.40, 7,866.48 and 1,545.72

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Solution

The fourth proportional to 5,243.40, 7,866.48 and 1,545.72 is: 2,318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.40 : 7,866.48 = 1,545.72 : x
  2. Step 2: Convert to fraction form
    5,243.40/7,866.48 = 1,545.72/x
  3. Step 3: Cross multiply
    5,243.40x = 7,866.48 × 1,545.72
  4. Step 4: Simplify right side
    5,243.40x = 12,159,375.47
  5. Step 5: Solve for x
    x = 12,159,375.47/5,243.40
  6. Step 6: Final answer
    x = 2,318.99

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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.