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Finding the Fourth Proportional to 7,180.79, 9,902.81 and 4,660.21

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Solution

The fourth proportional to 7,180.79, 9,902.81 and 4,660.21 is: 6,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.79 : 9,902.81 = 4,660.21 : x
  2. Step 2: Convert to fraction form
    7,180.79/9,902.81 = 4,660.21/x
  3. Step 3: Cross multiply
    7,180.79x = 9,902.81 × 4,660.21
  4. Step 4: Simplify right side
    7,180.79x = 46,149,101.38
  5. Step 5: Solve for x
    x = 46,149,101.38/7,180.79
  6. Step 6: Final answer
    x = 6,426.74

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.