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Finding the Fourth Proportional to 9,728.14, 13,424.90 and 5,536.39

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Solution

The fourth proportional to 9,728.14, 13,424.90 and 5,536.39 is: 7,640.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,728.14 : 13,424.90 = 5,536.39 : x
  2. Step 2: Convert to fraction form
    9,728.14/13,424.90 = 5,536.39/x
  3. Step 3: Cross multiply
    9,728.14x = 13,424.90 × 5,536.39
  4. Step 4: Simplify right side
    9,728.14x = 74,325,482.11
  5. Step 5: Solve for x
    x = 74,325,482.11/9,728.14
  6. Step 6: Final answer
    x = 7,640.26

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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.