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Finding the Fourth Proportional to 11,871.40, 17,781.18 and 9,784.84

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Solution

The fourth proportional to 11,871.40, 17,781.18 and 9,784.84 is: 14,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.40 : 17,781.18 = 9,784.84 : x
  2. Step 2: Convert to fraction form
    11,871.40/17,781.18 = 9,784.84/x
  3. Step 3: Cross multiply
    11,871.40x = 17,781.18 × 9,784.84
  4. Step 4: Simplify right side
    11,871.40x = 173,986,001.31
  5. Step 5: Solve for x
    x = 173,986,001.31/11,871.40
  6. Step 6: Final answer
    x = 14,655.90

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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.