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Finding the Fourth Proportional to 2,078.65, 3,117.03 and 780.40

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Solution

The fourth proportional to 2,078.65, 3,117.03 and 780.40 is: 1,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.65 : 3,117.03 = 780.40 : x
  2. Step 2: Convert to fraction form
    2,078.65/3,117.03 = 780.40/x
  3. Step 3: Cross multiply
    2,078.65x = 3,117.03 × 780.40
  4. Step 4: Simplify right side
    2,078.65x = 2,432,530.21
  5. Step 5: Solve for x
    x = 2,432,530.21/2,078.65
  6. Step 6: Final answer
    x = 1,170.25

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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.