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Finding the Fourth Proportional to 11,294.88, 15,585.12 and 7,100.16

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Solution

The fourth proportional to 11,294.88, 15,585.12 and 7,100.16 is: 9,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,294.88 : 15,585.12 = 7,100.16 : x
  2. Step 2: Convert to fraction form
    11,294.88/15,585.12 = 7,100.16/x
  3. Step 3: Cross multiply
    11,294.88x = 15,585.12 × 7,100.16
  4. Step 4: Simplify right side
    11,294.88x = 110,656,845.62
  5. Step 5: Solve for x
    x = 110,656,845.62/11,294.88
  6. Step 6: Final answer
    x = 9,797.08

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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.