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Finding the Fourth Proportional to 2,457.48, 3,686.23 and 813.59

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Solution

The fourth proportional to 2,457.48, 3,686.23 and 813.59 is: 1,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.48 : 3,686.23 = 813.59 : x
  2. Step 2: Convert to fraction form
    2,457.48/3,686.23 = 813.59/x
  3. Step 3: Cross multiply
    2,457.48x = 3,686.23 × 813.59
  4. Step 4: Simplify right side
    2,457.48x = 2,999,076.27
  5. Step 5: Solve for x
    x = 2,999,076.27/2,457.48
  6. Step 6: Final answer
    x = 1,220.38

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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.