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Finding the Fourth Proportional to 10,662, 14,713.24 and 6,185.45

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Solution

The fourth proportional to 10,662, 14,713.24 and 6,185.45 is: 8,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662 : 14,713.24 = 6,185.45 : x
  2. Step 2: Convert to fraction form
    10,662/14,713.24 = 6,185.45/x
  3. Step 3: Cross multiply
    10,662x = 14,713.24 × 6,185.45
  4. Step 4: Simplify right side
    10,662x = 91,008,010.36
  5. Step 5: Solve for x
    x = 91,008,010.36/10,662
  6. Step 6: Final answer
    x = 8,535.74

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1.5x scale

Why These Related Problems?

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