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Finding the Fourth Proportional to 7,881.84, 10,877.04 and 5,092.20

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Solution

The fourth proportional to 7,881.84, 10,877.04 and 5,092.20 is: 7,027.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.84 : 10,877.04 = 5,092.20 : x
  2. Step 2: Convert to fraction form
    7,881.84/10,877.04 = 5,092.20/x
  3. Step 3: Cross multiply
    7,881.84x = 10,877.04 × 5,092.20
  4. Step 4: Simplify right side
    7,881.84x = 55,388,063.09
  5. Step 5: Solve for x
    x = 55,388,063.09/7,881.84
  6. Step 6: Final answer
    x = 7,027.30

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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.