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Finding the Fourth Proportional to 20,589.84, 30,875.61 and 7,442.31

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Solution

The fourth proportional to 20,589.84, 30,875.61 and 7,442.31 is: 11,160.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,589.84 : 30,875.61 = 7,442.31 : x
  2. Step 2: Convert to fraction form
    20,589.84/30,875.61 = 7,442.31/x
  3. Step 3: Cross multiply
    20,589.84x = 30,875.61 × 7,442.31
  4. Step 4: Simplify right side
    20,589.84x = 229,785,861.06
  5. Step 5: Solve for x
    x = 229,785,861.06/20,589.84
  6. Step 6: Final answer
    x = 11,160.16

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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.