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Finding the Fourth Proportional to 4,173.70, 6,257.70 and 1,707.78

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Solution

The fourth proportional to 4,173.70, 6,257.70 and 1,707.78 is: 2,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173.70 : 6,257.70 = 1,707.78 : x
  2. Step 2: Convert to fraction form
    4,173.70/6,257.70 = 1,707.78/x
  3. Step 3: Cross multiply
    4,173.70x = 6,257.70 × 1,707.78
  4. Step 4: Simplify right side
    4,173.70x = 10,686,774.91
  5. Step 5: Solve for x
    x = 10,686,774.91/4,173.70
  6. Step 6: Final answer
    x = 2,560.50

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1.5x scale

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.