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Finding the Fourth Proportional to 2,703.80, 4,054.44 and 972.20

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Solution

The fourth proportional to 2,703.80, 4,054.44 and 972.20 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.80 : 4,054.44 = 972.20 : x
  2. Step 2: Convert to fraction form
    2,703.80/4,054.44 = 972.20/x
  3. Step 3: Cross multiply
    2,703.80x = 4,054.44 × 972.20
  4. Step 4: Simplify right side
    2,703.80x = 3,941,726.57
  5. Step 5: Solve for x
    x = 3,941,726.57/2,703.80
  6. Step 6: Final answer
    x = 1,457.85

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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.