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Finding the Fourth Proportional to 21,321.70, 31,982.55 and 7,470.70

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Solution

The fourth proportional to 21,321.70, 31,982.55 and 7,470.70 is: 11,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,321.70 : 31,982.55 = 7,470.70 : x
  2. Step 2: Convert to fraction form
    21,321.70/31,982.55 = 7,470.70/x
  3. Step 3: Cross multiply
    21,321.70x = 31,982.55 × 7,470.70
  4. Step 4: Simplify right side
    21,321.70x = 238,932,036.29
  5. Step 5: Solve for x
    x = 238,932,036.29/21,321.70
  6. Step 6: Final answer
    x = 11,206.05

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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.