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Finding the Fourth Proportional to 4,215, 6,314.58 and 3,896.76

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Solution

The fourth proportional to 4,215, 6,314.58 and 3,896.76 is: 5,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215 : 6,314.58 = 3,896.76 : x
  2. Step 2: Convert to fraction form
    4,215/6,314.58 = 3,896.76/x
  3. Step 3: Cross multiply
    4,215x = 6,314.58 × 3,896.76
  4. Step 4: Simplify right side
    4,215x = 24,606,402.76
  5. Step 5: Solve for x
    x = 24,606,402.76/4,215
  6. Step 6: Final answer
    x = 5,837.82

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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.