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Finding the Fourth Proportional to 6,480.68, 9,718.62 and 5,096.72

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Solution

The fourth proportional to 6,480.68, 9,718.62 and 5,096.72 is: 7,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.68 : 9,718.62 = 5,096.72 : x
  2. Step 2: Convert to fraction form
    6,480.68/9,718.62 = 5,096.72/x
  3. Step 3: Cross multiply
    6,480.68x = 9,718.62 × 5,096.72
  4. Step 4: Simplify right side
    6,480.68x = 49,533,084.93
  5. Step 5: Solve for x
    x = 49,533,084.93/6,480.68
  6. Step 6: Final answer
    x = 7,643.19

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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.