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Finding the Fourth Proportional to 9,211.56, 12,707.88 and 7,214.10

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Solution

The fourth proportional to 9,211.56, 12,707.88 and 7,214.10 is: 9,952.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.56 : 12,707.88 = 7,214.10 : x
  2. Step 2: Convert to fraction form
    9,211.56/12,707.88 = 7,214.10/x
  3. Step 3: Cross multiply
    9,211.56x = 12,707.88 × 7,214.10
  4. Step 4: Simplify right side
    9,211.56x = 91,675,917.11
  5. Step 5: Solve for x
    x = 91,675,917.11/9,211.56
  6. Step 6: Final answer
    x = 9,952.27

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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.