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Finding the Fourth Proportional to 10,328, 14,290.18 and 9,004.46

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Solution

The fourth proportional to 10,328, 14,290.18 and 9,004.46 is: 12,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328 : 14,290.18 = 9,004.46 : x
  2. Step 2: Convert to fraction form
    10,328/14,290.18 = 9,004.46/x
  3. Step 3: Cross multiply
    10,328x = 14,290.18 × 9,004.46
  4. Step 4: Simplify right side
    10,328x = 128,675,354.20
  5. Step 5: Solve for x
    x = 128,675,354.20/10,328
  6. Step 6: Final answer
    x = 12,458.88

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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.