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Finding the Fourth Proportional to 7,187.96, 9,920.86 and 4,666.56

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Solution

The fourth proportional to 7,187.96, 9,920.86 and 4,666.56 is: 6,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.96 : 9,920.86 = 4,666.56 : x
  2. Step 2: Convert to fraction form
    7,187.96/9,920.86 = 4,666.56/x
  3. Step 3: Cross multiply
    7,187.96x = 9,920.86 × 4,666.56
  4. Step 4: Simplify right side
    7,187.96x = 46,296,288.44
  5. Step 5: Solve for x
    x = 46,296,288.44/7,187.96
  6. Step 6: Final answer
    x = 6,440.81

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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.