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Finding the Fourth Proportional to 11,615.58, 16,021.29 and 7,141.86

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Solution

The fourth proportional to 11,615.58, 16,021.29 and 7,141.86 is: 9,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.58 : 16,021.29 = 7,141.86 : x
  2. Step 2: Convert to fraction form
    11,615.58/16,021.29 = 7,141.86/x
  3. Step 3: Cross multiply
    11,615.58x = 16,021.29 × 7,141.86
  4. Step 4: Simplify right side
    11,615.58x = 114,421,810.20
  5. Step 5: Solve for x
    x = 114,421,810.20/11,615.58
  6. Step 6: Final answer
    x = 9,850.72

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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.