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Finding the Fourth Proportional to 12,881.14, 17,783.88 and 9,891.16

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Solution

The fourth proportional to 12,881.14, 17,783.88 and 9,891.16 is: 13,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.14 : 17,783.88 = 9,891.16 : x
  2. Step 2: Convert to fraction form
    12,881.14/17,783.88 = 9,891.16/x
  3. Step 3: Cross multiply
    12,881.14x = 17,783.88 × 9,891.16
  4. Step 4: Simplify right side
    12,881.14x = 175,903,202.50
  5. Step 5: Solve for x
    x = 175,903,202.50/12,881.14
  6. Step 6: Final answer
    x = 13,655.87

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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.