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Finding the Fourth Proportional to 9,722, 13,416.36 and 5,306

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Solution

The fourth proportional to 9,722, 13,416.36 and 5,306 is: 7,322.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722 : 13,416.36 = 5,306 : x
  2. Step 2: Convert to fraction form
    9,722/13,416.36 = 5,306/x
  3. Step 3: Cross multiply
    9,722x = 13,416.36 × 5,306
  4. Step 4: Simplify right side
    9,722x = 71,187,206.16
  5. Step 5: Solve for x
    x = 71,187,206.16/9,722
  6. Step 6: Final answer
    x = 7,322.28

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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.