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Finding the Fourth Proportional to 2,870.75, 4,305.71 and 922.70

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Solution

The fourth proportional to 2,870.75, 4,305.71 and 922.70 is: 1,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.75 : 4,305.71 = 922.70 : x
  2. Step 2: Convert to fraction form
    2,870.75/4,305.71 = 922.70/x
  3. Step 3: Cross multiply
    2,870.75x = 4,305.71 × 922.70
  4. Step 4: Simplify right side
    2,870.75x = 3,972,852.47
  5. Step 5: Solve for x
    x = 3,972,852.47/2,870.75
  6. Step 6: Final answer
    x = 1,383.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.