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Finding the Fourth Proportional to 10,727, 14,803.26 and 7,001

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Solution

The fourth proportional to 10,727, 14,803.26 and 7,001 is: 9,661.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,727 : 14,803.26 = 7,001 : x
  2. Step 2: Convert to fraction form
    10,727/14,803.26 = 7,001/x
  3. Step 3: Cross multiply
    10,727x = 14,803.26 × 7,001
  4. Step 4: Simplify right side
    10,727x = 103,637,623.26
  5. Step 5: Solve for x
    x = 103,637,623.26/10,727
  6. Step 6: Final answer
    x = 9,661.38

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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.