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Finding the Fourth Proportional to 11,291.54, 15,581.06 and 6,254.50

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Solution

The fourth proportional to 11,291.54, 15,581.06 and 6,254.50 is: 8,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291.54 : 15,581.06 = 6,254.50 : x
  2. Step 2: Convert to fraction form
    11,291.54/15,581.06 = 6,254.50/x
  3. Step 3: Cross multiply
    11,291.54x = 15,581.06 × 6,254.50
  4. Step 4: Simplify right side
    11,291.54x = 97,451,739.77
  5. Step 5: Solve for x
    x = 97,451,739.77/11,291.54
  6. Step 6: Final answer
    x = 8,630.51

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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.