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Finding the Fourth Proportional to 10,369.44, 14,309.28 and 7,728.48

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Solution

The fourth proportional to 10,369.44, 14,309.28 and 7,728.48 is: 10,664.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.44 : 14,309.28 = 7,728.48 : x
  2. Step 2: Convert to fraction form
    10,369.44/14,309.28 = 7,728.48/x
  3. Step 3: Cross multiply
    10,369.44x = 14,309.28 × 7,728.48
  4. Step 4: Simplify right side
    10,369.44x = 110,588,984.29
  5. Step 5: Solve for x
    x = 110,588,984.29/10,369.44
  6. Step 6: Final answer
    x = 10,664.89

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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.