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Finding the Fourth Proportional to 3,389.91, 5,084.05 and 924.74

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Solution

The fourth proportional to 3,389.91, 5,084.05 and 924.74 is: 1,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.91 : 5,084.05 = 924.74 : x
  2. Step 2: Convert to fraction form
    3,389.91/5,084.05 = 924.74/x
  3. Step 3: Cross multiply
    3,389.91x = 5,084.05 × 924.74
  4. Step 4: Simplify right side
    3,389.91x = 4,701,424.40
  5. Step 5: Solve for x
    x = 4,701,424.40/3,389.91
  6. Step 6: Final answer
    x = 1,386.89

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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.