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Finding the Fourth Proportional to 22,515, 31,072.62 and 12,580.92

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Solution

The fourth proportional to 22,515, 31,072.62 and 12,580.92 is: 17,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515 : 31,072.62 = 12,580.92 : x
  2. Step 2: Convert to fraction form
    22,515/31,072.62 = 12,580.92/x
  3. Step 3: Cross multiply
    22,515x = 31,072.62 × 12,580.92
  4. Step 4: Simplify right side
    22,515x = 390,922,146.41
  5. Step 5: Solve for x
    x = 390,922,146.41/22,515
  6. Step 6: Final answer
    x = 17,362.74

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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.