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Finding the Fourth Proportional to 9,340.80, 12,889.68 and 5,361.36

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Solution

The fourth proportional to 9,340.80, 12,889.68 and 5,361.36 is: 7,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.80 : 12,889.68 = 5,361.36 : x
  2. Step 2: Convert to fraction form
    9,340.80/12,889.68 = 5,361.36/x
  3. Step 3: Cross multiply
    9,340.80x = 12,889.68 × 5,361.36
  4. Step 4: Simplify right side
    9,340.80x = 69,106,214.76
  5. Step 5: Solve for x
    x = 69,106,214.76/9,340.80
  6. Step 6: Final answer
    x = 7,398.32

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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.