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Finding the Fourth Proportional to 2,259.65, 3,118.16 and 1,264.92

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Solution

The fourth proportional to 2,259.65, 3,118.16 and 1,264.92 is: 1,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.65 : 3,118.16 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    2,259.65/3,118.16 = 1,264.92/x
  3. Step 3: Cross multiply
    2,259.65x = 3,118.16 × 1,264.92
  4. Step 4: Simplify right side
    2,259.65x = 3,944,222.95
  5. Step 5: Solve for x
    x = 3,944,222.95/2,259.65
  6. Step 6: Final answer
    x = 1,745.50

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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.