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Finding the Fourth Proportional to 6,438.29, 9,657.53 and 1,821.29

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Solution

The fourth proportional to 6,438.29, 9,657.53 and 1,821.29 is: 2,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.29 : 9,657.53 = 1,821.29 : x
  2. Step 2: Convert to fraction form
    6,438.29/9,657.53 = 1,821.29/x
  3. Step 3: Cross multiply
    6,438.29x = 9,657.53 × 1,821.29
  4. Step 4: Simplify right side
    6,438.29x = 17,589,153.71
  5. Step 5: Solve for x
    x = 17,589,153.71/6,438.29
  6. Step 6: Final answer
    x = 2,731.96

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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.