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Finding the Fourth Proportional to 3,390.64, 4,678.54 and 1,898.62

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Solution

The fourth proportional to 3,390.64, 4,678.54 and 1,898.62 is: 2,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.64 : 4,678.54 = 1,898.62 : x
  2. Step 2: Convert to fraction form
    3,390.64/4,678.54 = 1,898.62/x
  3. Step 3: Cross multiply
    3,390.64x = 4,678.54 × 1,898.62
  4. Step 4: Simplify right side
    3,390.64x = 8,882,746.22
  5. Step 5: Solve for x
    x = 8,882,746.22/3,390.64
  6. Step 6: Final answer
    x = 2,619.79

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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.