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Finding the Fourth Proportional to 14,642.64, 21,959.64 and 5,409.36

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Solution

The fourth proportional to 14,642.64, 21,959.64 and 5,409.36 is: 8,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.64 : 21,959.64 = 5,409.36 : x
  2. Step 2: Convert to fraction form
    14,642.64/21,959.64 = 5,409.36/x
  3. Step 3: Cross multiply
    14,642.64x = 21,959.64 × 5,409.36
  4. Step 4: Simplify right side
    14,642.64x = 118,787,598.23
  5. Step 5: Solve for x
    x = 118,787,598.23/14,642.64
  6. Step 6: Final answer
    x = 8,112.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.