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Finding the Fourth Proportional to 6,643, 9,952.62 and 4,297.78

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Solution

The fourth proportional to 6,643, 9,952.62 and 4,297.78 is: 6,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643 : 9,952.62 = 4,297.78 : x
  2. Step 2: Convert to fraction form
    6,643/9,952.62 = 4,297.78/x
  3. Step 3: Cross multiply
    6,643x = 9,952.62 × 4,297.78
  4. Step 4: Simplify right side
    6,643x = 42,774,171.18
  5. Step 5: Solve for x
    x = 42,774,171.18/6,643
  6. Step 6: Final answer
    x = 6,438.98

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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.