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Finding the Fourth Proportional to 6,781.40, 10,172.10 and 5,245.40

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Solution

The fourth proportional to 6,781.40, 10,172.10 and 5,245.40 is: 7,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.40 : 10,172.10 = 5,245.40 : x
  2. Step 2: Convert to fraction form
    6,781.40/10,172.10 = 5,245.40/x
  3. Step 3: Cross multiply
    6,781.40x = 10,172.10 × 5,245.40
  4. Step 4: Simplify right side
    6,781.40x = 53,356,733.34
  5. Step 5: Solve for x
    x = 53,356,733.34/6,781.40
  6. Step 6: Final answer
    x = 7,868.10

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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.