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Finding the Fourth Proportional to 31,102.20, 42,927.03 and 20,491.20

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Solution

The fourth proportional to 31,102.20, 42,927.03 and 20,491.20 is: 28,281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.20 : 42,927.03 = 20,491.20 : x
  2. Step 2: Convert to fraction form
    31,102.20/42,927.03 = 20,491.20/x
  3. Step 3: Cross multiply
    31,102.20x = 42,927.03 × 20,491.20
  4. Step 4: Simplify right side
    31,102.20x = 879,626,357.14
  5. Step 5: Solve for x
    x = 879,626,357.14/31,102.20
  6. Step 6: Final answer
    x = 28,281.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.