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Finding the Fourth Proportional to 11,343.07, 15,649.69 and 6,865.12

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Solution

The fourth proportional to 11,343.07, 15,649.69 and 6,865.12 is: 9,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.07 : 15,649.69 = 6,865.12 : x
  2. Step 2: Convert to fraction form
    11,343.07/15,649.69 = 6,865.12/x
  3. Step 3: Cross multiply
    11,343.07x = 15,649.69 × 6,865.12
  4. Step 4: Simplify right side
    11,343.07x = 107,436,999.81
  5. Step 5: Solve for x
    x = 107,436,999.81/11,343.07
  6. Step 6: Final answer
    x = 9,471.60

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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.