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Finding the Fourth Proportional to 10,610.50, 14,643.84 and 6,418.78

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Solution

The fourth proportional to 10,610.50, 14,643.84 and 6,418.78 is: 8,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.50 : 14,643.84 = 6,418.78 : x
  2. Step 2: Convert to fraction form
    10,610.50/14,643.84 = 6,418.78/x
  3. Step 3: Cross multiply
    10,610.50x = 14,643.84 × 6,418.78
  4. Step 4: Simplify right side
    10,610.50x = 93,995,587.32
  5. Step 5: Solve for x
    x = 93,995,587.32/10,610.50
  6. Step 6: Final answer
    x = 8,858.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.