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Finding the Fourth Proportional to 5,386.70, 8,071.11 and 1,874.84

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Solution

The fourth proportional to 5,386.70, 8,071.11 and 1,874.84 is: 2,809.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.70 : 8,071.11 = 1,874.84 : x
  2. Step 2: Convert to fraction form
    5,386.70/8,071.11 = 1,874.84/x
  3. Step 3: Cross multiply
    5,386.70x = 8,071.11 × 1,874.84
  4. Step 4: Simplify right side
    5,386.70x = 15,132,039.87
  5. Step 5: Solve for x
    x = 15,132,039.87/5,386.70
  6. Step 6: Final answer
    x = 2,809.15

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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.