Home / 22,816-31,468.80-15,754.24

Finding the Fourth Proportional to 22,816, 31,468.80 and 15,754.24

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Solution

The fourth proportional to 22,816, 31,468.80 and 15,754.24 is: 21,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,816 : 31,468.80 = 15,754.24 : x
  2. Step 2: Convert to fraction form
    22,816/31,468.80 = 15,754.24/x
  3. Step 3: Cross multiply
    22,816x = 31,468.80 × 15,754.24
  4. Step 4: Simplify right side
    22,816x = 495,767,027.71
  5. Step 5: Solve for x
    x = 495,767,027.71/22,816
  6. Step 6: Final answer
    x = 21,728.92

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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.