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Finding the Fourth Proportional to 7,881.96, 11,761.13 and 7,054.52

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Solution

The fourth proportional to 7,881.96, 11,761.13 and 7,054.52 is: 10,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.96 : 11,761.13 = 7,054.52 : x
  2. Step 2: Convert to fraction form
    7,881.96/11,761.13 = 7,054.52/x
  3. Step 3: Cross multiply
    7,881.96x = 11,761.13 × 7,054.52
  4. Step 4: Simplify right side
    7,881.96x = 82,969,126.81
  5. Step 5: Solve for x
    x = 82,969,126.81/7,881.96
  6. Step 6: Final answer
    x = 10,526.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.