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Finding the Fourth Proportional to 3,389.78, 5,084.98 and 924.62

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Solution

The fourth proportional to 3,389.78, 5,084.98 and 924.62 is: 1,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.78 : 5,084.98 = 924.62 : x
  2. Step 2: Convert to fraction form
    3,389.78/5,084.98 = 924.62/x
  3. Step 3: Cross multiply
    3,389.78x = 5,084.98 × 924.62
  4. Step 4: Simplify right side
    3,389.78x = 4,701,646.47
  5. Step 5: Solve for x
    x = 4,701,646.47/3,389.78
  6. Step 6: Final answer
    x = 1,387.01

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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.