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Finding the Fourth Proportional to 2,877.69, 4,317 and 929.43

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Solution

The fourth proportional to 2,877.69, 4,317 and 929.43 is: 1,394.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.69 : 4,317 = 929.43 : x
  2. Step 2: Convert to fraction form
    2,877.69/4,317 = 929.43/x
  3. Step 3: Cross multiply
    2,877.69x = 4,317 × 929.43
  4. Step 4: Simplify right side
    2,877.69x = 4,012,349.31
  5. Step 5: Solve for x
    x = 4,012,349.31/2,877.69
  6. Step 6: Final answer
    x = 1,394.30

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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.