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Finding the Fourth Proportional to 10,486.74, 15,716.22 and 7,700.36

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Solution

The fourth proportional to 10,486.74, 15,716.22 and 7,700.36 is: 11,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.74 : 15,716.22 = 7,700.36 : x
  2. Step 2: Convert to fraction form
    10,486.74/15,716.22 = 7,700.36/x
  3. Step 3: Cross multiply
    10,486.74x = 15,716.22 × 7,700.36
  4. Step 4: Simplify right side
    10,486.74x = 121,020,551.84
  5. Step 5: Solve for x
    x = 121,020,551.84/10,486.74
  6. Step 6: Final answer
    x = 11,540.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.