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Finding the Fourth Proportional to 7,881.10, 10,867.57 and 7,087.57

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Solution

The fourth proportional to 7,881.10, 10,867.57 and 7,087.57 is: 9,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.10 : 10,867.57 = 7,087.57 : x
  2. Step 2: Convert to fraction form
    7,881.10/10,867.57 = 7,087.57/x
  3. Step 3: Cross multiply
    7,881.10x = 10,867.57 × 7,087.57
  4. Step 4: Simplify right side
    7,881.10x = 77,024,618.22
  5. Step 5: Solve for x
    x = 77,024,618.22/7,881.10
  6. Step 6: Final answer
    x = 9,773.34

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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.