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Finding the Fourth Proportional to 11,127, 15,356.22 and 6,159.96

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Solution

The fourth proportional to 11,127, 15,356.22 and 6,159.96 is: 8,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,127 : 15,356.22 = 6,159.96 : x
  2. Step 2: Convert to fraction form
    11,127/15,356.22 = 6,159.96/x
  3. Step 3: Cross multiply
    11,127x = 15,356.22 × 6,159.96
  4. Step 4: Simplify right side
    11,127x = 94,593,700.95
  5. Step 5: Solve for x
    x = 94,593,700.95/11,127
  6. Step 6: Final answer
    x = 8,501.28

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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.