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Finding the Fourth Proportional to 2,117.69, 3,176.74 and 578.69

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Solution

The fourth proportional to 2,117.69, 3,176.74 and 578.69 is: 868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.69 : 3,176.74 = 578.69 : x
  2. Step 2: Convert to fraction form
    2,117.69/3,176.74 = 578.69/x
  3. Step 3: Cross multiply
    2,117.69x = 3,176.74 × 578.69
  4. Step 4: Simplify right side
    2,117.69x = 1,838,347.67
  5. Step 5: Solve for x
    x = 1,838,347.67/2,117.69
  6. Step 6: Final answer
    x = 868.09

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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.