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Finding the Fourth Proportional to 15,431.56, 21,295.56 and 8,358

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Solution

The fourth proportional to 15,431.56, 21,295.56 and 8,358 is: 11,534.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.56 : 21,295.56 = 8,358 : x
  2. Step 2: Convert to fraction form
    15,431.56/21,295.56 = 8,358/x
  3. Step 3: Cross multiply
    15,431.56x = 21,295.56 × 8,358
  4. Step 4: Simplify right side
    15,431.56x = 177,988,290.48
  5. Step 5: Solve for x
    x = 177,988,290.48/15,431.56
  6. Step 6: Final answer
    x = 11,534.04

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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.