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Finding the Fourth Proportional to 11,097.60, 15,313.92 and 9,914.88

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Solution

The fourth proportional to 11,097.60, 15,313.92 and 9,914.88 is: 13,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.60 : 15,313.92 = 9,914.88 : x
  2. Step 2: Convert to fraction form
    11,097.60/15,313.92 = 9,914.88/x
  3. Step 3: Cross multiply
    11,097.60x = 15,313.92 × 9,914.88
  4. Step 4: Simplify right side
    11,097.60x = 151,835,679.13
  5. Step 5: Solve for x
    x = 151,835,679.13/11,097.60
  6. Step 6: Final answer
    x = 13,681.85

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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.