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Finding the Fourth Proportional to 9,622, 13,278.40 and 5,206

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Solution

The fourth proportional to 9,622, 13,278.40 and 5,206 is: 7,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622 : 13,278.40 = 5,206 : x
  2. Step 2: Convert to fraction form
    9,622/13,278.40 = 5,206/x
  3. Step 3: Cross multiply
    9,622x = 13,278.40 × 5,206
  4. Step 4: Simplify right side
    9,622x = 69,127,350.40
  5. Step 5: Solve for x
    x = 69,127,350.40/9,622
  6. Step 6: Final answer
    x = 7,184.30

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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.