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Finding the Fourth Proportional to 7,318, 10,098.84 and 4,174.19

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Solution

The fourth proportional to 7,318, 10,098.84 and 4,174.19 is: 5,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,318 : 10,098.84 = 4,174.19 : x
  2. Step 2: Convert to fraction form
    7,318/10,098.84 = 4,174.19/x
  3. Step 3: Cross multiply
    7,318x = 10,098.84 × 4,174.19
  4. Step 4: Simplify right side
    7,318x = 42,154,476.94
  5. Step 5: Solve for x
    x = 42,154,476.94/7,318
  6. Step 6: Final answer
    x = 5,760.38

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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.