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Finding the Fourth Proportional to 10,343.78, 14,174.99 and 9,347.33

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Solution

The fourth proportional to 10,343.78, 14,174.99 and 9,347.33 is: 12,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.78 : 14,174.99 = 9,347.33 : x
  2. Step 2: Convert to fraction form
    10,343.78/14,174.99 = 9,347.33/x
  3. Step 3: Cross multiply
    10,343.78x = 14,174.99 × 9,347.33
  4. Step 4: Simplify right side
    10,343.78x = 132,498,359.32
  5. Step 5: Solve for x
    x = 132,498,359.32/10,343.78
  6. Step 6: Final answer
    x = 12,809.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.