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Finding the Fourth Proportional to 9,781.40, 14,672.10 and 3,544.40

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Solution

The fourth proportional to 9,781.40, 14,672.10 and 3,544.40 is: 5,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.40 : 14,672.10 = 3,544.40 : x
  2. Step 2: Convert to fraction form
    9,781.40/14,672.10 = 3,544.40/x
  3. Step 3: Cross multiply
    9,781.40x = 14,672.10 × 3,544.40
  4. Step 4: Simplify right side
    9,781.40x = 52,003,791.24
  5. Step 5: Solve for x
    x = 52,003,791.24/9,781.40
  6. Step 6: Final answer
    x = 5,316.60

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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.