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Finding the Fourth Proportional to 9,949.90, 13,728.06 and 6,415.18

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Solution

The fourth proportional to 9,949.90, 13,728.06 and 6,415.18 is: 8,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.90 : 13,728.06 = 6,415.18 : x
  2. Step 2: Convert to fraction form
    9,949.90/13,728.06 = 6,415.18/x
  3. Step 3: Cross multiply
    9,949.90x = 13,728.06 × 6,415.18
  4. Step 4: Simplify right side
    9,949.90x = 88,067,975.95
  5. Step 5: Solve for x
    x = 88,067,975.95/9,949.90
  6. Step 6: Final answer
    x = 8,851.14

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1.5x scale

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.