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Finding the Fourth Proportional to 11,575.88, 15,978.81 and 6,860.16

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Solution

The fourth proportional to 11,575.88, 15,978.81 and 6,860.16 is: 9,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.88 : 15,978.81 = 6,860.16 : x
  2. Step 2: Convert to fraction form
    11,575.88/15,978.81 = 6,860.16/x
  3. Step 3: Cross multiply
    11,575.88x = 15,978.81 × 6,860.16
  4. Step 4: Simplify right side
    11,575.88x = 109,617,193.21
  5. Step 5: Solve for x
    x = 109,617,193.21/11,575.88
  6. Step 6: Final answer
    x = 9,469.45

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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.