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Finding the Fourth Proportional to 6,427.95, 9,631.99 and 4,339.77

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Solution

The fourth proportional to 6,427.95, 9,631.99 and 4,339.77 is: 6,502.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.95 : 9,631.99 = 4,339.77 : x
  2. Step 2: Convert to fraction form
    6,427.95/9,631.99 = 4,339.77/x
  3. Step 3: Cross multiply
    6,427.95x = 9,631.99 × 4,339.77
  4. Step 4: Simplify right side
    6,427.95x = 41,800,621.24
  5. Step 5: Solve for x
    x = 41,800,621.24/6,427.95
  6. Step 6: Final answer
    x = 6,502.95

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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.