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Finding the Fourth Proportional to 4,255, 6,385.23 and 1,657.95

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Solution

The fourth proportional to 4,255, 6,385.23 and 1,657.95 is: 2,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255 : 6,385.23 = 1,657.95 : x
  2. Step 2: Convert to fraction form
    4,255/6,385.23 = 1,657.95/x
  3. Step 3: Cross multiply
    4,255x = 6,385.23 × 1,657.95
  4. Step 4: Simplify right side
    4,255x = 10,586,392.08
  5. Step 5: Solve for x
    x = 10,586,392.08/4,255
  6. Step 6: Final answer
    x = 2,487.99

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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.