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Finding the Fourth Proportional to 7,881.74, 11,822.15 and 2,887.48

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Solution

The fourth proportional to 7,881.74, 11,822.15 and 2,887.48 is: 4,331.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.74 : 11,822.15 = 2,887.48 : x
  2. Step 2: Convert to fraction form
    7,881.74/11,822.15 = 2,887.48/x
  3. Step 3: Cross multiply
    7,881.74x = 11,822.15 × 2,887.48
  4. Step 4: Simplify right side
    7,881.74x = 34,136,243.68
  5. Step 5: Solve for x
    x = 34,136,243.68/7,881.74
  6. Step 6: Final answer
    x = 4,331.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.