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Finding the Fourth Proportional to 6,471, 9,705.53 and 2,087.87

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Solution

The fourth proportional to 6,471, 9,705.53 and 2,087.87 is: 3,131.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 9,705.53 = 2,087.87 : x
  2. Step 2: Convert to fraction form
    6,471/9,705.53 = 2,087.87/x
  3. Step 3: Cross multiply
    6,471x = 9,705.53 × 2,087.87
  4. Step 4: Simplify right side
    6,471x = 20,263,841.61
  5. Step 5: Solve for x
    x = 20,263,841.61/6,471
  6. Step 6: Final answer
    x = 3,131.49

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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.