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Finding the Fourth Proportional to 11,575.86, 15,973.29 and 7,099.80

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Solution

The fourth proportional to 11,575.86, 15,973.29 and 7,099.80 is: 9,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.86 : 15,973.29 = 7,099.80 : x
  2. Step 2: Convert to fraction form
    11,575.86/15,973.29 = 7,099.80/x
  3. Step 3: Cross multiply
    11,575.86x = 15,973.29 × 7,099.80
  4. Step 4: Simplify right side
    11,575.86x = 113,407,164.34
  5. Step 5: Solve for x
    x = 113,407,164.34/11,575.86
  6. Step 6: Final answer
    x = 9,796.87

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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.