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Finding the Fourth Proportional to 2,387, 3,295.68 and 1,457.12

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Solution

The fourth proportional to 2,387, 3,295.68 and 1,457.12 is: 2,011.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387 : 3,295.68 = 1,457.12 : x
  2. Step 2: Convert to fraction form
    2,387/3,295.68 = 1,457.12/x
  3. Step 3: Cross multiply
    2,387x = 3,295.68 × 1,457.12
  4. Step 4: Simplify right side
    2,387x = 4,802,201.24
  5. Step 5: Solve for x
    x = 4,802,201.24/2,387
  6. Step 6: Final answer
    x = 2,011.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.