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Finding the Fourth Proportional to 7,165.74, 9,889.12 and 4,021.86

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Solution

The fourth proportional to 7,165.74, 9,889.12 and 4,021.86 is: 5,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.74 : 9,889.12 = 4,021.86 : x
  2. Step 2: Convert to fraction form
    7,165.74/9,889.12 = 4,021.86/x
  3. Step 3: Cross multiply
    7,165.74x = 9,889.12 × 4,021.86
  4. Step 4: Simplify right side
    7,165.74x = 39,772,656.16
  5. Step 5: Solve for x
    x = 39,772,656.16/7,165.74
  6. Step 6: Final answer
    x = 5,550.39

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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.