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Finding the Fourth Proportional to 2,457.53, 3,686.96 and 997.70

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Solution

The fourth proportional to 2,457.53, 3,686.96 and 997.70 is: 1,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.53 : 3,686.96 = 997.70 : x
  2. Step 2: Convert to fraction form
    2,457.53/3,686.96 = 997.70/x
  3. Step 3: Cross multiply
    2,457.53x = 3,686.96 × 997.70
  4. Step 4: Simplify right side
    2,457.53x = 3,678,479.99
  5. Step 5: Solve for x
    x = 3,678,479.99/2,457.53
  6. Step 6: Final answer
    x = 1,496.82

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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.