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Finding the Fourth Proportional to 13,343.04, 18,414 and 7,752.96

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Solution

The fourth proportional to 13,343.04, 18,414 and 7,752.96 is: 10,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.04 : 18,414 = 7,752.96 : x
  2. Step 2: Convert to fraction form
    13,343.04/18,414 = 7,752.96/x
  3. Step 3: Cross multiply
    13,343.04x = 18,414 × 7,752.96
  4. Step 4: Simplify right side
    13,343.04x = 142,763,005.44
  5. Step 5: Solve for x
    x = 142,763,005.44/13,343.04
  6. Step 6: Final answer
    x = 10,699.44

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1.5x scale

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.