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Finding the Fourth Proportional to 2,078.40, 2,868.08 and 1,182.08

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Solution

The fourth proportional to 2,078.40, 2,868.08 and 1,182.08 is: 1,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.40 : 2,868.08 = 1,182.08 : x
  2. Step 2: Convert to fraction form
    2,078.40/2,868.08 = 1,182.08/x
  3. Step 3: Cross multiply
    2,078.40x = 2,868.08 × 1,182.08
  4. Step 4: Simplify right side
    2,078.40x = 3,390,300.01
  5. Step 5: Solve for x
    x = 3,390,300.01/2,078.40
  6. Step 6: Final answer
    x = 1,631.21

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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.