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Finding the Fourth Proportional to 6,705.86, 10,119.10 and 6,474.20

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Solution

The fourth proportional to 6,705.86, 10,119.10 and 6,474.20 is: 9,769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.86 : 10,119.10 = 6,474.20 : x
  2. Step 2: Convert to fraction form
    6,705.86/10,119.10 = 6,474.20/x
  3. Step 3: Cross multiply
    6,705.86x = 10,119.10 × 6,474.20
  4. Step 4: Simplify right side
    6,705.86x = 65,513,044.85
  5. Step 5: Solve for x
    x = 65,513,044.85/6,705.86
  6. Step 6: Final answer
    x = 9,769.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.