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Finding the Fourth Proportional to 2,312.94, 3,191.84 and 1,265.00

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Solution

The fourth proportional to 2,312.94, 3,191.84 and 1,265.00 is: 1,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.94 : 3,191.84 = 1,265.00 : x
  2. Step 2: Convert to fraction form
    2,312.94/3,191.84 = 1,265.00/x
  3. Step 3: Cross multiply
    2,312.94x = 3,191.84 × 1,265.00
  4. Step 4: Simplify right side
    2,312.94x = 4,037,655.32
  5. Step 5: Solve for x
    x = 4,037,655.32/2,312.94
  6. Step 6: Final answer
    x = 1,745.68

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Why These Related Problems?

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