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Finding the Fourth Proportional to 2,707.80, 4,061.70 and 2,302.80

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Solution

The fourth proportional to 2,707.80, 4,061.70 and 2,302.80 is: 3,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.80 : 4,061.70 = 2,302.80 : x
  2. Step 2: Convert to fraction form
    2,707.80/4,061.70 = 2,302.80/x
  3. Step 3: Cross multiply
    2,707.80x = 4,061.70 × 2,302.80
  4. Step 4: Simplify right side
    2,707.80x = 9,353,282.76
  5. Step 5: Solve for x
    x = 9,353,282.76/2,707.80
  6. Step 6: Final answer
    x = 3,454.20

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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.