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Finding the Fourth Proportional to 6,478.95, 9,718.43 and 2,099.46

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Solution

The fourth proportional to 6,478.95, 9,718.43 and 2,099.46 is: 3,149.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.95 : 9,718.43 = 2,099.46 : x
  2. Step 2: Convert to fraction form
    6,478.95/9,718.43 = 2,099.46/x
  3. Step 3: Cross multiply
    6,478.95x = 9,718.43 × 2,099.46
  4. Step 4: Simplify right side
    6,478.95x = 20,403,444.55
  5. Step 5: Solve for x
    x = 20,403,444.55/6,478.95
  6. Step 6: Final answer
    x = 3,149.19

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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.