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Finding the Fourth Proportional to 3,389.85, 5,085.23 and 924.92

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Solution

The fourth proportional to 3,389.85, 5,085.23 and 924.92 is: 1,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.85 : 5,085.23 = 924.92 : x
  2. Step 2: Convert to fraction form
    3,389.85/5,085.23 = 924.92/x
  3. Step 3: Cross multiply
    3,389.85x = 5,085.23 × 924.92
  4. Step 4: Simplify right side
    3,389.85x = 4,703,425.15
  5. Step 5: Solve for x
    x = 4,703,425.15/3,389.85
  6. Step 6: Final answer
    x = 1,387.50

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1.5x scale

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.