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Finding the Fourth Proportional to 2,111.63, 3,167.45 and 572.63

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Solution

The fourth proportional to 2,111.63, 3,167.45 and 572.63 is: 858.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.63 : 3,167.45 = 572.63 : x
  2. Step 2: Convert to fraction form
    2,111.63/3,167.45 = 572.63/x
  3. Step 3: Cross multiply
    2,111.63x = 3,167.45 × 572.63
  4. Step 4: Simplify right side
    2,111.63x = 1,813,760.34
  5. Step 5: Solve for x
    x = 1,813,760.34/2,111.63
  6. Step 6: Final answer
    x = 858.94

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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.