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Finding the Fourth Proportional to 2,117.75, 3,176.81 and 578.75

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Solution

The fourth proportional to 2,117.75, 3,176.81 and 578.75 is: 868.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.75 : 3,176.81 = 578.75 : x
  2. Step 2: Convert to fraction form
    2,117.75/3,176.81 = 578.75/x
  3. Step 3: Cross multiply
    2,117.75x = 3,176.81 × 578.75
  4. Step 4: Simplify right side
    2,117.75x = 1,838,575.89
  5. Step 5: Solve for x
    x = 1,838,575.89/2,117.75
  6. Step 6: Final answer
    x = 868.17

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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.