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Finding the Fourth Proportional to 9,328, 13,990.40 and 2,752.64

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Solution

The fourth proportional to 9,328, 13,990.40 and 2,752.64 is: 4,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328 : 13,990.40 = 2,752.64 : x
  2. Step 2: Convert to fraction form
    9,328/13,990.40 = 2,752.64/x
  3. Step 3: Cross multiply
    9,328x = 13,990.40 × 2,752.64
  4. Step 4: Simplify right side
    9,328x = 38,510,534.66
  5. Step 5: Solve for x
    x = 38,510,534.66/9,328
  6. Step 6: Final answer
    x = 4,128.49

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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.