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Finding the Fourth Proportional to 2,476.40, 3,713.28 and 832.40

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Solution

The fourth proportional to 2,476.40, 3,713.28 and 832.40 is: 1,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476.40 : 3,713.28 = 832.40 : x
  2. Step 2: Convert to fraction form
    2,476.40/3,713.28 = 832.40/x
  3. Step 3: Cross multiply
    2,476.40x = 3,713.28 × 832.40
  4. Step 4: Simplify right side
    2,476.40x = 3,090,934.27
  5. Step 5: Solve for x
    x = 3,090,934.27/2,476.40
  6. Step 6: Final answer
    x = 1,248.16

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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.