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Finding the Fourth Proportional to 11,507.68, 15,881.81 and 7,034.41

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Solution

The fourth proportional to 11,507.68, 15,881.81 and 7,034.41 is: 9,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.68 : 15,881.81 = 7,034.41 : x
  2. Step 2: Convert to fraction form
    11,507.68/15,881.81 = 7,034.41/x
  3. Step 3: Cross multiply
    11,507.68x = 15,881.81 × 7,034.41
  4. Step 4: Simplify right side
    11,507.68x = 111,719,147.76
  5. Step 5: Solve for x
    x = 111,719,147.76/11,507.68
  6. Step 6: Final answer
    x = 9,708.22

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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.