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Finding the Fourth Proportional to 6,438.66, 9,657.45 and 2,055.78

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Solution

The fourth proportional to 6,438.66, 9,657.45 and 2,055.78 is: 3,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.66 : 9,657.45 = 2,055.78 : x
  2. Step 2: Convert to fraction form
    6,438.66/9,657.45 = 2,055.78/x
  3. Step 3: Cross multiply
    6,438.66x = 9,657.45 × 2,055.78
  4. Step 4: Simplify right side
    6,438.66x = 19,853,592.56
  5. Step 5: Solve for x
    x = 19,853,592.56/6,438.66
  6. Step 6: Final answer
    x = 3,083.50

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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.