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Finding the Fourth Proportional to 7,139.40, 10,710.12 and 2,209.42

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Solution

The fourth proportional to 7,139.40, 10,710.12 and 2,209.42 is: 3,314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.40 : 10,710.12 = 2,209.42 : x
  2. Step 2: Convert to fraction form
    7,139.40/10,710.12 = 2,209.42/x
  3. Step 3: Cross multiply
    7,139.40x = 10,710.12 × 2,209.42
  4. Step 4: Simplify right side
    7,139.40x = 23,663,153.33
  5. Step 5: Solve for x
    x = 23,663,153.33/7,139.40
  6. Step 6: Final answer
    x = 3,314.45

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1.5x scale

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.