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Finding the Fourth Proportional to 22,378.80, 31,272 and 22,378.80

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Solution

The fourth proportional to 22,378.80, 31,272 and 22,378.80 is: 31,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,378.80 : 31,272 = 22,378.80 : x
  2. Step 2: Convert to fraction form
    22,378.80/31,272 = 22,378.80/x
  3. Step 3: Cross multiply
    22,378.80x = 31,272 × 22,378.80
  4. Step 4: Simplify right side
    22,378.80x = 699,829,833.60
  5. Step 5: Solve for x
    x = 699,829,833.60/22,378.80
  6. Step 6: Final answer
    x = 31,272.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.