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Finding the Fourth Proportional to 2,750.64, 4,126.47 and 901.86

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Solution

The fourth proportional to 2,750.64, 4,126.47 and 901.86 is: 1,352.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.64 : 4,126.47 = 901.86 : x
  2. Step 2: Convert to fraction form
    2,750.64/4,126.47 = 901.86/x
  3. Step 3: Cross multiply
    2,750.64x = 4,126.47 × 901.86
  4. Step 4: Simplify right side
    2,750.64x = 3,721,479.38
  5. Step 5: Solve for x
    x = 3,721,479.38/2,750.64
  6. Step 6: Final answer
    x = 1,352.95

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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.