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Finding the Fourth Proportional to 2,312.90, 3,191.81 and 1,264.98

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Solution

The fourth proportional to 2,312.90, 3,191.81 and 1,264.98 is: 1,745.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.90 : 3,191.81 = 1,264.98 : x
  2. Step 2: Convert to fraction form
    2,312.90/3,191.81 = 1,264.98/x
  3. Step 3: Cross multiply
    2,312.90x = 3,191.81 × 1,264.98
  4. Step 4: Simplify right side
    2,312.90x = 4,037,575.81
  5. Step 5: Solve for x
    x = 4,037,575.81/2,312.90
  6. Step 6: Final answer
    x = 1,745.68

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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.