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Finding the Fourth Proportional to 7,206.91, 9,945.54 and 3,894.91

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Solution

The fourth proportional to 7,206.91, 9,945.54 and 3,894.91 is: 5,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.91 : 9,945.54 = 3,894.91 : x
  2. Step 2: Convert to fraction form
    7,206.91/9,945.54 = 3,894.91/x
  3. Step 3: Cross multiply
    7,206.91x = 9,945.54 × 3,894.91
  4. Step 4: Simplify right side
    7,206.91x = 38,736,983.20
  5. Step 5: Solve for x
    x = 38,736,983.20/7,206.91
  6. Step 6: Final answer
    x = 5,374.98

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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.