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Finding the Fourth Proportional to 2,117.19, 3,175.99 and 578.19

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Solution

The fourth proportional to 2,117.19, 3,175.99 and 578.19 is: 867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.19 : 3,175.99 = 578.19 : x
  2. Step 2: Convert to fraction form
    2,117.19/3,175.99 = 578.19/x
  3. Step 3: Cross multiply
    2,117.19x = 3,175.99 × 578.19
  4. Step 4: Simplify right side
    2,117.19x = 1,836,325.66
  5. Step 5: Solve for x
    x = 1,836,325.66/2,117.19
  6. Step 6: Final answer
    x = 867.34

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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.