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Finding the Fourth Proportional to 11,277.76, 15,564 and 6,309.76

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Solution

The fourth proportional to 11,277.76, 15,564 and 6,309.76 is: 8,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,277.76 : 15,564 = 6,309.76 : x
  2. Step 2: Convert to fraction form
    11,277.76/15,564 = 6,309.76/x
  3. Step 3: Cross multiply
    11,277.76x = 15,564 × 6,309.76
  4. Step 4: Simplify right side
    11,277.76x = 98,205,104.64
  5. Step 5: Solve for x
    x = 98,205,104.64/11,277.76
  6. Step 6: Final answer
    x = 8,707.86

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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.