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Finding the Fourth Proportional to 3,098.66, 4,647.69 and 907.25

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Solution

The fourth proportional to 3,098.66, 4,647.69 and 907.25 is: 1,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.66 : 4,647.69 = 907.25 : x
  2. Step 2: Convert to fraction form
    3,098.66/4,647.69 = 907.25/x
  3. Step 3: Cross multiply
    3,098.66x = 4,647.69 × 907.25
  4. Step 4: Simplify right side
    3,098.66x = 4,216,593.51
  5. Step 5: Solve for x
    x = 4,216,593.51/3,098.66
  6. Step 6: Final answer
    x = 1,360.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.