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Finding the Fourth Proportional to 10,681, 14,739.66 and 5,901

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Solution

The fourth proportional to 10,681, 14,739.66 and 5,901 is: 8,143.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681 : 14,739.66 = 5,901 : x
  2. Step 2: Convert to fraction form
    10,681/14,739.66 = 5,901/x
  3. Step 3: Cross multiply
    10,681x = 14,739.66 × 5,901
  4. Step 4: Simplify right side
    10,681x = 86,978,733.66
  5. Step 5: Solve for x
    x = 86,978,733.66/10,681
  6. Step 6: Final answer
    x = 8,143.31

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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.