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Finding the Fourth Proportional to 3,404.08, 4,697.32 and 2,078

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Solution

The fourth proportional to 3,404.08, 4,697.32 and 2,078 is: 2,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.08 : 4,697.32 = 2,078 : x
  2. Step 2: Convert to fraction form
    3,404.08/4,697.32 = 2,078/x
  3. Step 3: Cross multiply
    3,404.08x = 4,697.32 × 2,078
  4. Step 4: Simplify right side
    3,404.08x = 9,761,030.96
  5. Step 5: Solve for x
    x = 9,761,030.96/3,404.08
  6. Step 6: Final answer
    x = 2,867.45

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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.