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Finding the Fourth Proportional to 1,903.65, 2,856.39 and 1,657.32

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Solution

The fourth proportional to 1,903.65, 2,856.39 and 1,657.32 is: 2,486.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.65 : 2,856.39 = 1,657.32 : x
  2. Step 2: Convert to fraction form
    1,903.65/2,856.39 = 1,657.32/x
  3. Step 3: Cross multiply
    1,903.65x = 2,856.39 × 1,657.32
  4. Step 4: Simplify right side
    1,903.65x = 4,733,952.27
  5. Step 5: Solve for x
    x = 4,733,952.27/1,903.65
  6. Step 6: Final answer
    x = 2,486.78

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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.