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Finding the Fourth Proportional to 6,445.40, 9,657.30 and 3,151.40

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Solution

The fourth proportional to 6,445.40, 9,657.30 and 3,151.40 is: 4,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.40 : 9,657.30 = 3,151.40 : x
  2. Step 2: Convert to fraction form
    6,445.40/9,657.30 = 3,151.40/x
  3. Step 3: Cross multiply
    6,445.40x = 9,657.30 × 3,151.40
  4. Step 4: Simplify right side
    6,445.40x = 30,434,015.22
  5. Step 5: Solve for x
    x = 30,434,015.22/6,445.40
  6. Step 6: Final answer
    x = 4,721.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.