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Finding the Fourth Proportional to 3,397.70, 4,688.78 and 1,905.65

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Solution

The fourth proportional to 3,397.70, 4,688.78 and 1,905.65 is: 2,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.70 : 4,688.78 = 1,905.65 : x
  2. Step 2: Convert to fraction form
    3,397.70/4,688.78 = 1,905.65/x
  3. Step 3: Cross multiply
    3,397.70x = 4,688.78 × 1,905.65
  4. Step 4: Simplify right side
    3,397.70x = 8,935,173.61
  5. Step 5: Solve for x
    x = 8,935,173.61/3,397.70
  6. Step 6: Final answer
    x = 2,629.77

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1.5x scale

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.