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Finding the Fourth Proportional to 6,872.70, 10,315.80 and 3,588.42

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Solution

The fourth proportional to 6,872.70, 10,315.80 and 3,588.42 is: 5,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.70 : 10,315.80 = 3,588.42 : x
  2. Step 2: Convert to fraction form
    6,872.70/10,315.80 = 3,588.42/x
  3. Step 3: Cross multiply
    6,872.70x = 10,315.80 × 3,588.42
  4. Step 4: Simplify right side
    6,872.70x = 37,017,423.04
  5. Step 5: Solve for x
    x = 37,017,423.04/6,872.70
  6. Step 6: Final answer
    x = 5,386.15

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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.