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Finding the Fourth Proportional to 22,715.64, 31,350.24 and 13,284

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Solution

The fourth proportional to 22,715.64, 31,350.24 and 13,284 is: 18,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.64 : 31,350.24 = 13,284 : x
  2. Step 2: Convert to fraction form
    22,715.64/31,350.24 = 13,284/x
  3. Step 3: Cross multiply
    22,715.64x = 31,350.24 × 13,284
  4. Step 4: Simplify right side
    22,715.64x = 416,456,588.16
  5. Step 5: Solve for x
    x = 416,456,588.16/22,715.64
  6. Step 6: Final answer
    x = 18,333.47

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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.