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Finding the Fourth Proportional to 22,752, 31,380.48 and 15,690.24

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Solution

The fourth proportional to 22,752, 31,380.48 and 15,690.24 is: 21,640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752 : 31,380.48 = 15,690.24 : x
  2. Step 2: Convert to fraction form
    22,752/31,380.48 = 15,690.24/x
  3. Step 3: Cross multiply
    22,752x = 31,380.48 × 15,690.24
  4. Step 4: Simplify right side
    22,752x = 492,367,262.52
  5. Step 5: Solve for x
    x = 492,367,262.52/22,752
  6. Step 6: Final answer
    x = 21,640.61

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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.