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Finding the Fourth Proportional to 2,987.13, 4,480.86 and 907.20

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Solution

The fourth proportional to 2,987.13, 4,480.86 and 907.20 is: 1,360.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.13 : 4,480.86 = 907.20 : x
  2. Step 2: Convert to fraction form
    2,987.13/4,480.86 = 907.20/x
  3. Step 3: Cross multiply
    2,987.13x = 4,480.86 × 907.20
  4. Step 4: Simplify right side
    2,987.13x = 4,065,037.04
  5. Step 5: Solve for x
    x = 4,065,037.04/2,987.13
  6. Step 6: Final answer
    x = 1,360.85

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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.