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Finding the Fourth Proportional to 2,259.84, 3,118.20 and 1,265.08

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Solution

The fourth proportional to 2,259.84, 3,118.20 and 1,265.08 is: 1,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259.84 : 3,118.20 = 1,265.08 : x
  2. Step 2: Convert to fraction form
    2,259.84/3,118.20 = 1,265.08/x
  3. Step 3: Cross multiply
    2,259.84x = 3,118.20 × 1,265.08
  4. Step 4: Simplify right side
    2,259.84x = 3,944,772.46
  5. Step 5: Solve for x
    x = 3,944,772.46/2,259.84
  6. Step 6: Final answer
    x = 1,745.60

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