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Finding the Fourth Proportional to 10,664, 14,716 and 6,187.45

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Solution

The fourth proportional to 10,664, 14,716 and 6,187.45 is: 8,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664 : 14,716 = 6,187.45 : x
  2. Step 2: Convert to fraction form
    10,664/14,716 = 6,187.45/x
  3. Step 3: Cross multiply
    10,664x = 14,716 × 6,187.45
  4. Step 4: Simplify right side
    10,664x = 91,054,514.20
  5. Step 5: Solve for x
    x = 91,054,514.20/10,664
  6. Step 6: Final answer
    x = 8,538.50

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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.