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Finding the Fourth Proportional to 3,870.80, 5,806.20 and 3,287.60

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Solution

The fourth proportional to 3,870.80, 5,806.20 and 3,287.60 is: 4,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.80 : 5,806.20 = 3,287.60 : x
  2. Step 2: Convert to fraction form
    3,870.80/5,806.20 = 3,287.60/x
  3. Step 3: Cross multiply
    3,870.80x = 5,806.20 × 3,287.60
  4. Step 4: Simplify right side
    3,870.80x = 19,088,463.12
  5. Step 5: Solve for x
    x = 19,088,463.12/3,870.80
  6. Step 6: Final answer
    x = 4,931.40

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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.