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Finding the Fourth Proportional to 2,457.29, 3,686.10 and 813.87

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Solution

The fourth proportional to 2,457.29, 3,686.10 and 813.87 is: 1,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.29 : 3,686.10 = 813.87 : x
  2. Step 2: Convert to fraction form
    2,457.29/3,686.10 = 813.87/x
  3. Step 3: Cross multiply
    2,457.29x = 3,686.10 × 813.87
  4. Step 4: Simplify right side
    2,457.29x = 3,000,006.21
  5. Step 5: Solve for x
    x = 3,000,006.21/2,457.29
  6. Step 6: Final answer
    x = 1,220.86

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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.