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Finding the Fourth Proportional to 7,089.76, 9,782.45 and 3,945.34

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Solution

The fourth proportional to 7,089.76, 9,782.45 and 3,945.34 is: 5,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.76 : 9,782.45 = 3,945.34 : x
  2. Step 2: Convert to fraction form
    7,089.76/9,782.45 = 3,945.34/x
  3. Step 3: Cross multiply
    7,089.76x = 9,782.45 × 3,945.34
  4. Step 4: Simplify right side
    7,089.76x = 38,595,042.37
  5. Step 5: Solve for x
    x = 38,595,042.37/7,089.76
  6. Step 6: Final answer
    x = 5,443.78

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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.