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Finding the Fourth Proportional to 2,259.76, 3,117.84 and 1,264.92

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Solution

The fourth proportional to 2,259.76, 3,117.84 and 1,264.92 is: 1,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.76 : 3,117.84 = 1,264.92 : x
  2. Step 2: Convert to fraction form
    2,259.76/3,117.84 = 1,264.92/x
  3. Step 3: Cross multiply
    2,259.76x = 3,117.84 × 1,264.92
  4. Step 4: Simplify right side
    2,259.76x = 3,943,818.17
  5. Step 5: Solve for x
    x = 3,943,818.17/2,259.76
  6. Step 6: Final answer
    x = 1,745.24

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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.