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Finding the Fourth Proportional to 2,150.75, 2,966.41 and 1,488.71

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Solution

The fourth proportional to 2,150.75, 2,966.41 and 1,488.71 is: 2,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.75 : 2,966.41 = 1,488.71 : x
  2. Step 2: Convert to fraction form
    2,150.75/2,966.41 = 1,488.71/x
  3. Step 3: Cross multiply
    2,150.75x = 2,966.41 × 1,488.71
  4. Step 4: Simplify right side
    2,150.75x = 4,416,124.23
  5. Step 5: Solve for x
    x = 4,416,124.23/2,150.75
  6. Step 6: Final answer
    x = 2,053.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.