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Finding the Fourth Proportional to 7,502.75, 10,278.73 and 7,222.40

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Solution

The fourth proportional to 7,502.75, 10,278.73 and 7,222.40 is: 9,894.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.75 : 10,278.73 = 7,222.40 : x
  2. Step 2: Convert to fraction form
    7,502.75/10,278.73 = 7,222.40/x
  3. Step 3: Cross multiply
    7,502.75x = 10,278.73 × 7,222.40
  4. Step 4: Simplify right side
    7,502.75x = 74,237,099.55
  5. Step 5: Solve for x
    x = 74,237,099.55/7,502.75
  6. Step 6: Final answer
    x = 9,894.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.