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Finding the Fourth Proportional to 20,490.32, 30,721.44 and 7,342.40

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Solution

The fourth proportional to 20,490.32, 30,721.44 and 7,342.40 is: 11,008.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,490.32 : 30,721.44 = 7,342.40 : x
  2. Step 2: Convert to fraction form
    20,490.32/30,721.44 = 7,342.40/x
  3. Step 3: Cross multiply
    20,490.32x = 30,721.44 × 7,342.40
  4. Step 4: Simplify right side
    20,490.32x = 225,569,101.06
  5. Step 5: Solve for x
    x = 225,569,101.06/20,490.32
  6. Step 6: Final answer
    x = 11,008.57

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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.