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Finding the Fourth Proportional to 7,111, 9,813.18 and 3,967.19

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Solution

The fourth proportional to 7,111, 9,813.18 and 3,967.19 is: 5,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111 : 9,813.18 = 3,967.19 : x
  2. Step 2: Convert to fraction form
    7,111/9,813.18 = 3,967.19/x
  3. Step 3: Cross multiply
    7,111x = 9,813.18 × 3,967.19
  4. Step 4: Simplify right side
    7,111x = 38,930,749.56
  5. Step 5: Solve for x
    x = 38,930,749.56/7,111
  6. Step 6: Final answer
    x = 5,474.72

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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.