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Finding the Fourth Proportional to 2,312.71, 3,191.54 and 1,264.77

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Solution

The fourth proportional to 2,312.71, 3,191.54 and 1,264.77 is: 1,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.71 : 3,191.54 = 1,264.77 : x
  2. Step 2: Convert to fraction form
    2,312.71/3,191.54 = 1,264.77/x
  3. Step 3: Cross multiply
    2,312.71x = 3,191.54 × 1,264.77
  4. Step 4: Simplify right side
    2,312.71x = 4,036,564.05
  5. Step 5: Solve for x
    x = 4,036,564.05/2,312.71
  6. Step 6: Final answer
    x = 1,745.38

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1.5x scale

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.