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Finding the Fourth Proportional to 10,179.69, 14,047 and 6,995.78

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Solution

The fourth proportional to 10,179.69, 14,047 and 6,995.78 is: 9,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,179.69 : 14,047 = 6,995.78 : x
  2. Step 2: Convert to fraction form
    10,179.69/14,047 = 6,995.78/x
  3. Step 3: Cross multiply
    10,179.69x = 14,047 × 6,995.78
  4. Step 4: Simplify right side
    10,179.69x = 98,269,721.66
  5. Step 5: Solve for x
    x = 98,269,721.66/10,179.69
  6. Step 6: Final answer
    x = 9,653.51

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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.