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Finding the Fourth Proportional to 2,146.08, 3,219.06 and 586.05

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Solution

The fourth proportional to 2,146.08, 3,219.06 and 586.05 is: 879.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.08 : 3,219.06 = 586.05 : x
  2. Step 2: Convert to fraction form
    2,146.08/3,219.06 = 586.05/x
  3. Step 3: Cross multiply
    2,146.08x = 3,219.06 × 586.05
  4. Step 4: Simplify right side
    2,146.08x = 1,886,530.11
  5. Step 5: Solve for x
    x = 1,886,530.11/2,146.08
  6. Step 6: Final answer
    x = 879.06

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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.