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Finding the Fourth Proportional to 1,607, 2,217.66 and 871

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Solution

The fourth proportional to 1,607, 2,217.66 and 871 is: 1,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607 : 2,217.66 = 871 : x
  2. Step 2: Convert to fraction form
    1,607/2,217.66 = 871/x
  3. Step 3: Cross multiply
    1,607x = 2,217.66 × 871
  4. Step 4: Simplify right side
    1,607x = 1,931,581.86
  5. Step 5: Solve for x
    x = 1,931,581.86/1,607
  6. Step 6: Final answer
    x = 1,201.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.