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Finding the Fourth Proportional to 2,872.46, 4,307.66 and 924.14

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Solution

The fourth proportional to 2,872.46, 4,307.66 and 924.14 is: 1,385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.46 : 4,307.66 = 924.14 : x
  2. Step 2: Convert to fraction form
    2,872.46/4,307.66 = 924.14/x
  3. Step 3: Cross multiply
    2,872.46x = 4,307.66 × 924.14
  4. Step 4: Simplify right side
    2,872.46x = 3,980,854.75
  5. Step 5: Solve for x
    x = 3,980,854.75/2,872.46
  6. Step 6: Final answer
    x = 1,385.87

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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.