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Finding the Fourth Proportional to 10,851.40, 16,241.10 and 7,881.40

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Solution

The fourth proportional to 10,851.40, 16,241.10 and 7,881.40 is: 11,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.40 : 16,241.10 = 7,881.40 : x
  2. Step 2: Convert to fraction form
    10,851.40/16,241.10 = 7,881.40/x
  3. Step 3: Cross multiply
    10,851.40x = 16,241.10 × 7,881.40
  4. Step 4: Simplify right side
    10,851.40x = 128,002,605.54
  5. Step 5: Solve for x
    x = 128,002,605.54/10,851.40
  6. Step 6: Final answer
    x = 11,795.95

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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.