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Finding the Fourth Proportional to 6,868.80, 10,293.93 and 5,011.20

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Solution

The fourth proportional to 6,868.80, 10,293.93 and 5,011.20 is: 7,510.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.80 : 10,293.93 = 5,011.20 : x
  2. Step 2: Convert to fraction form
    6,868.80/10,293.93 = 5,011.20/x
  3. Step 3: Cross multiply
    6,868.80x = 10,293.93 × 5,011.20
  4. Step 4: Simplify right side
    6,868.80x = 51,584,942.02
  5. Step 5: Solve for x
    x = 51,584,942.02/6,868.80
  6. Step 6: Final answer
    x = 7,510.04

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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.