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Finding the Fourth Proportional to 11,290.10, 15,580.44 and 6,254.38

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Solution

The fourth proportional to 11,290.10, 15,580.44 and 6,254.38 is: 8,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,290.10 : 15,580.44 = 6,254.38 : x
  2. Step 2: Convert to fraction form
    11,290.10/15,580.44 = 6,254.38/x
  3. Step 3: Cross multiply
    11,290.10x = 15,580.44 × 6,254.38
  4. Step 4: Simplify right side
    11,290.10x = 97,446,073.21
  5. Step 5: Solve for x
    x = 97,446,073.21/11,290.10
  6. Step 6: Final answer
    x = 8,631.11

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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.