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Finding the Fourth Proportional to 5,281.80, 7,922.10 and 1,386.51

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Solution

The fourth proportional to 5,281.80, 7,922.10 and 1,386.51 is: 2,079.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.80 : 7,922.10 = 1,386.51 : x
  2. Step 2: Convert to fraction form
    5,281.80/7,922.10 = 1,386.51/x
  3. Step 3: Cross multiply
    5,281.80x = 7,922.10 × 1,386.51
  4. Step 4: Simplify right side
    5,281.80x = 10,984,070.87
  5. Step 5: Solve for x
    x = 10,984,070.87/5,281.80
  6. Step 6: Final answer
    x = 2,079.61

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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.