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Finding the Fourth Proportional to 1,879.30, 2,806.16 and 1,658.08

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Solution

The fourth proportional to 1,879.30, 2,806.16 and 1,658.08 is: 2,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.30 : 2,806.16 = 1,658.08 : x
  2. Step 2: Convert to fraction form
    1,879.30/2,806.16 = 1,658.08/x
  3. Step 3: Cross multiply
    1,879.30x = 2,806.16 × 1,658.08
  4. Step 4: Simplify right side
    1,879.30x = 4,652,837.77
  5. Step 5: Solve for x
    x = 4,652,837.77/1,879.30
  6. Step 6: Final answer
    x = 2,475.84

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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.