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Finding the Fourth Proportional to 2,457.91, 3,687.51 and 814.91

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Solution

The fourth proportional to 2,457.91, 3,687.51 and 814.91 is: 1,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.91 : 3,687.51 = 814.91 : x
  2. Step 2: Convert to fraction form
    2,457.91/3,687.51 = 814.91/x
  3. Step 3: Cross multiply
    2,457.91x = 3,687.51 × 814.91
  4. Step 4: Simplify right side
    2,457.91x = 3,004,988.77
  5. Step 5: Solve for x
    x = 3,004,988.77/2,457.91
  6. Step 6: Final answer
    x = 1,222.58

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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.