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Finding the Fourth Proportional to 7,222.32, 9,966.96 and 4,078.50

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Solution

The fourth proportional to 7,222.32, 9,966.96 and 4,078.50 is: 5,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.32 : 9,966.96 = 4,078.50 : x
  2. Step 2: Convert to fraction form
    7,222.32/9,966.96 = 4,078.50/x
  3. Step 3: Cross multiply
    7,222.32x = 9,966.96 × 4,078.50
  4. Step 4: Simplify right side
    7,222.32x = 40,650,246.36
  5. Step 5: Solve for x
    x = 40,650,246.36/7,222.32
  6. Step 6: Final answer
    x = 5,628.42

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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.