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Finding the Fourth Proportional to 2,870.60, 4,306.46 and 922.28

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Solution

The fourth proportional to 2,870.60, 4,306.46 and 922.28 is: 1,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.60 : 4,306.46 = 922.28 : x
  2. Step 2: Convert to fraction form
    2,870.60/4,306.46 = 922.28/x
  3. Step 3: Cross multiply
    2,870.60x = 4,306.46 × 922.28
  4. Step 4: Simplify right side
    2,870.60x = 3,971,761.93
  5. Step 5: Solve for x
    x = 3,971,761.93/2,870.60
  6. Step 6: Final answer
    x = 1,383.60

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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.