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Finding the Fourth Proportional to 6,801.60, 10,202.12 and 1,870.88

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Solution

The fourth proportional to 6,801.60, 10,202.12 and 1,870.88 is: 2,806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.60 : 10,202.12 = 1,870.88 : x
  2. Step 2: Convert to fraction form
    6,801.60/10,202.12 = 1,870.88/x
  3. Step 3: Cross multiply
    6,801.60x = 10,202.12 × 1,870.88
  4. Step 4: Simplify right side
    6,801.60x = 19,086,942.27
  5. Step 5: Solve for x
    x = 19,086,942.27/6,801.60
  6. Step 6: Final answer
    x = 2,806.24

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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.