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Finding the Fourth Proportional to 10,572.82, 15,863.02 and 4,955.56

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Solution

The fourth proportional to 10,572.82, 15,863.02 and 4,955.56 is: 7,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.82 : 15,863.02 = 4,955.56 : x
  2. Step 2: Convert to fraction form
    10,572.82/15,863.02 = 4,955.56/x
  3. Step 3: Cross multiply
    10,572.82x = 15,863.02 × 4,955.56
  4. Step 4: Simplify right side
    10,572.82x = 78,610,095.34
  5. Step 5: Solve for x
    x = 78,610,095.34/10,572.82
  6. Step 6: Final answer
    x = 7,435.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.