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Finding the Fourth Proportional to 3,389.79, 5,084.96 and 924.71

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Solution

The fourth proportional to 3,389.79, 5,084.96 and 924.71 is: 1,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.79 : 5,084.96 = 924.71 : x
  2. Step 2: Convert to fraction form
    3,389.79/5,084.96 = 924.71/x
  3. Step 3: Cross multiply
    3,389.79x = 5,084.96 × 924.71
  4. Step 4: Simplify right side
    3,389.79x = 4,702,083.31
  5. Step 5: Solve for x
    x = 4,702,083.31/3,389.79
  6. Step 6: Final answer
    x = 1,387.13

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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.