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Finding the Fourth Proportional to 1,762.43, 2,430.41 and 1,132.88

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Solution

The fourth proportional to 1,762.43, 2,430.41 and 1,132.88 is: 1,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.43 : 2,430.41 = 1,132.88 : x
  2. Step 2: Convert to fraction form
    1,762.43/2,430.41 = 1,132.88/x
  3. Step 3: Cross multiply
    1,762.43x = 2,430.41 × 1,132.88
  4. Step 4: Simplify right side
    1,762.43x = 2,753,345.06
  5. Step 5: Solve for x
    x = 2,753,345.06/1,762.43
  6. Step 6: Final answer
    x = 1,562.25

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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.