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Finding the Fourth Proportional to 10,380.04, 14,324.54 and 5,664.40

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Solution

The fourth proportional to 10,380.04, 14,324.54 and 5,664.40 is: 7,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.04 : 14,324.54 = 5,664.40 : x
  2. Step 2: Convert to fraction form
    10,380.04/14,324.54 = 5,664.40/x
  3. Step 3: Cross multiply
    10,380.04x = 14,324.54 × 5,664.40
  4. Step 4: Simplify right side
    10,380.04x = 81,139,924.38
  5. Step 5: Solve for x
    x = 81,139,924.38/10,380.04
  6. Step 6: Final answer
    x = 7,816.92

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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.