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Finding the Fourth Proportional to 2,656.77, 3,985.41 and 901.95

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Solution

The fourth proportional to 2,656.77, 3,985.41 and 901.95 is: 1,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.77 : 3,985.41 = 901.95 : x
  2. Step 2: Convert to fraction form
    2,656.77/3,985.41 = 901.95/x
  3. Step 3: Cross multiply
    2,656.77x = 3,985.41 × 901.95
  4. Step 4: Simplify right side
    2,656.77x = 3,594,640.55
  5. Step 5: Solve for x
    x = 3,594,640.55/2,656.77
  6. Step 6: Final answer
    x = 1,353.01

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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.