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Finding the Fourth Proportional to 22,803.75, 31,468.95 and 12,731.58

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Solution

The fourth proportional to 22,803.75, 31,468.95 and 12,731.58 is: 17,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,803.75 : 31,468.95 = 12,731.58 : x
  2. Step 2: Convert to fraction form
    22,803.75/31,468.95 = 12,731.58/x
  3. Step 3: Cross multiply
    22,803.75x = 31,468.95 × 12,731.58
  4. Step 4: Simplify right side
    22,803.75x = 400,649,454.44
  5. Step 5: Solve for x
    x = 400,649,454.44/22,803.75
  6. Step 6: Final answer
    x = 17,569.45

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