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Finding the Fourth Proportional to 11,348.06, 15,660.18 and 6,311.90

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Solution

The fourth proportional to 11,348.06, 15,660.18 and 6,311.90 is: 8,710.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.06 : 15,660.18 = 6,311.90 : x
  2. Step 2: Convert to fraction form
    11,348.06/15,660.18 = 6,311.90/x
  3. Step 3: Cross multiply
    11,348.06x = 15,660.18 × 6,311.90
  4. Step 4: Simplify right side
    11,348.06x = 98,845,490.14
  5. Step 5: Solve for x
    x = 98,845,490.14/11,348.06
  6. Step 6: Final answer
    x = 8,710.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.