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Finding the Fourth Proportional to 2,117.50, 3,176.31 and 578.50

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Solution

The fourth proportional to 2,117.50, 3,176.31 and 578.50 is: 867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.50 : 3,176.31 = 578.50 : x
  2. Step 2: Convert to fraction form
    2,117.50/3,176.31 = 578.50/x
  3. Step 3: Cross multiply
    2,117.50x = 3,176.31 × 578.50
  4. Step 4: Simplify right side
    2,117.50x = 1,837,495.34
  5. Step 5: Solve for x
    x = 1,837,495.34/2,117.50
  6. Step 6: Final answer
    x = 867.77

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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.