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Finding the Fourth Proportional to 6,427.68, 9,643.14 and 6,317.52

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Solution

The fourth proportional to 6,427.68, 9,643.14 and 6,317.52 is: 9,477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,427.68 : 9,643.14 = 6,317.52 : x
  2. Step 2: Convert to fraction form
    6,427.68/9,643.14 = 6,317.52/x
  3. Step 3: Cross multiply
    6,427.68x = 9,643.14 × 6,317.52
  4. Step 4: Simplify right side
    6,427.68x = 60,920,729.81
  5. Step 5: Solve for x
    x = 60,920,729.81/6,427.68
  6. Step 6: Final answer
    x = 9,477.87

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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.