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Finding the Fourth Proportional to 7,881.49, 10,873.01 and 5,189.24

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Solution

The fourth proportional to 7,881.49, 10,873.01 and 5,189.24 is: 7,158.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.49 : 10,873.01 = 5,189.24 : x
  2. Step 2: Convert to fraction form
    7,881.49/10,873.01 = 5,189.24/x
  3. Step 3: Cross multiply
    7,881.49x = 10,873.01 × 5,189.24
  4. Step 4: Simplify right side
    7,881.49x = 56,422,578.10
  5. Step 5: Solve for x
    x = 56,422,578.10/7,881.49
  6. Step 6: Final answer
    x = 7,158.88

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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.