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Finding the Fourth Proportional to 7,120, 10,683.84 and 3,472

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Solution

The fourth proportional to 7,120, 10,683.84 and 3,472 is: 5,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120 : 10,683.84 = 3,472 : x
  2. Step 2: Convert to fraction form
    7,120/10,683.84 = 3,472/x
  3. Step 3: Cross multiply
    7,120x = 10,683.84 × 3,472
  4. Step 4: Simplify right side
    7,120x = 37,094,292.48
  5. Step 5: Solve for x
    x = 37,094,292.48/7,120
  6. Step 6: Final answer
    x = 5,209.87

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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.