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Finding the Fourth Proportional to 11,120, 15,343.14 and 6,643.06

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Solution

The fourth proportional to 11,120, 15,343.14 and 6,643.06 is: 9,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,120 : 15,343.14 = 6,643.06 : x
  2. Step 2: Convert to fraction form
    11,120/15,343.14 = 6,643.06/x
  3. Step 3: Cross multiply
    11,120x = 15,343.14 × 6,643.06
  4. Step 4: Simplify right side
    11,120x = 101,925,399.61
  5. Step 5: Solve for x
    x = 101,925,399.61/11,120
  6. Step 6: Final answer
    x = 9,165.95

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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.