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Finding the Fourth Proportional to 2,158.29, 3,237.43 and 924.90

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Solution

The fourth proportional to 2,158.29, 3,237.43 and 924.90 is: 1,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.29 : 3,237.43 = 924.90 : x
  2. Step 2: Convert to fraction form
    2,158.29/3,237.43 = 924.90/x
  3. Step 3: Cross multiply
    2,158.29x = 3,237.43 × 924.90
  4. Step 4: Simplify right side
    2,158.29x = 2,994,282.82
  5. Step 5: Solve for x
    x = 2,994,282.82/2,158.29
  6. Step 6: Final answer
    x = 1,387.34

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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.