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Finding the Fourth Proportional to 11,438.58, 15,773.62 and 7,661.14

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Solution

The fourth proportional to 11,438.58, 15,773.62 and 7,661.14 is: 10,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.58 : 15,773.62 = 7,661.14 : x
  2. Step 2: Convert to fraction form
    11,438.58/15,773.62 = 7,661.14/x
  3. Step 3: Cross multiply
    11,438.58x = 15,773.62 × 7,661.14
  4. Step 4: Simplify right side
    11,438.58x = 120,843,911.13
  5. Step 5: Solve for x
    x = 120,843,911.13/11,438.58
  6. Step 6: Final answer
    x = 10,564.59

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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.