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Finding the Fourth Proportional to 2,103.80, 2,905.08 and 1,319.20

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Solution

The fourth proportional to 2,103.80, 2,905.08 and 1,319.20 is: 1,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.80 : 2,905.08 = 1,319.20 : x
  2. Step 2: Convert to fraction form
    2,103.80/2,905.08 = 1,319.20/x
  3. Step 3: Cross multiply
    2,103.80x = 2,905.08 × 1,319.20
  4. Step 4: Simplify right side
    2,103.80x = 3,832,381.54
  5. Step 5: Solve for x
    x = 3,832,381.54/2,103.80
  6. Step 6: Final answer
    x = 1,821.65

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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.