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Finding the Fourth Proportional to 2,671.51, 4,008.13 and 1,284.95

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Solution

The fourth proportional to 2,671.51, 4,008.13 and 1,284.95 is: 1,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.51 : 4,008.13 = 1,284.95 : x
  2. Step 2: Convert to fraction form
    2,671.51/4,008.13 = 1,284.95/x
  3. Step 3: Cross multiply
    2,671.51x = 4,008.13 × 1,284.95
  4. Step 4: Simplify right side
    2,671.51x = 5,150,246.64
  5. Step 5: Solve for x
    x = 5,150,246.64/2,671.51
  6. Step 6: Final answer
    x = 1,927.84

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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.