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Finding the Fourth Proportional to 10,681, 14,739.48 and 5,900.64

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Solution

The fourth proportional to 10,681, 14,739.48 and 5,900.64 is: 8,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681 : 14,739.48 = 5,900.64 : x
  2. Step 2: Convert to fraction form
    10,681/14,739.48 = 5,900.64/x
  3. Step 3: Cross multiply
    10,681x = 14,739.48 × 5,900.64
  4. Step 4: Simplify right side
    10,681x = 86,972,365.27
  5. Step 5: Solve for x
    x = 86,972,365.27/10,681
  6. Step 6: Final answer
    x = 8,142.72

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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.