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Finding the Fourth Proportional to 10,380, 14,322.24 and 7,023.36

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Solution

The fourth proportional to 10,380, 14,322.24 and 7,023.36 is: 9,690.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 14,322.24 = 7,023.36 : x
  2. Step 2: Convert to fraction form
    10,380/14,322.24 = 7,023.36/x
  3. Step 3: Cross multiply
    10,380x = 14,322.24 × 7,023.36
  4. Step 4: Simplify right side
    10,380x = 100,590,247.53
  5. Step 5: Solve for x
    x = 100,590,247.53/10,380
  6. Step 6: Final answer
    x = 9,690.78

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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.