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Finding the Fourth Proportional to 2,387, 3,563.06 and 2,211.13

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Solution

The fourth proportional to 2,387, 3,563.06 and 2,211.13 is: 3,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387 : 3,563.06 = 2,211.13 : x
  2. Step 2: Convert to fraction form
    2,387/3,563.06 = 2,211.13/x
  3. Step 3: Cross multiply
    2,387x = 3,563.06 × 2,211.13
  4. Step 4: Simplify right side
    2,387x = 7,878,388.86
  5. Step 5: Solve for x
    x = 7,878,388.86/2,387
  6. Step 6: Final answer
    x = 3,300.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.