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Finding the Fourth Proportional to 6,438.89, 9,657.56 and 1,695.53

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Solution

The fourth proportional to 6,438.89, 9,657.56 and 1,695.53 is: 2,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.89 : 9,657.56 = 1,695.53 : x
  2. Step 2: Convert to fraction form
    6,438.89/9,657.56 = 1,695.53/x
  3. Step 3: Cross multiply
    6,438.89x = 9,657.56 × 1,695.53
  4. Step 4: Simplify right side
    6,438.89x = 16,374,638.66
  5. Step 5: Solve for x
    x = 16,374,638.66/6,438.89
  6. Step 6: Final answer
    x = 2,543.09

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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.