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Finding the Fourth Proportional to 6,389.85, 9,581.52 and 2,924.13

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Solution

The fourth proportional to 6,389.85, 9,581.52 and 2,924.13 is: 4,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.85 : 9,581.52 = 2,924.13 : x
  2. Step 2: Convert to fraction form
    6,389.85/9,581.52 = 2,924.13/x
  3. Step 3: Cross multiply
    6,389.85x = 9,581.52 × 2,924.13
  4. Step 4: Simplify right side
    6,389.85x = 28,017,610.08
  5. Step 5: Solve for x
    x = 28,017,610.08/6,389.85
  6. Step 6: Final answer
    x = 4,384.71

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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.