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Finding the Fourth Proportional to 10,382, 14,325 and 7,025.36

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Solution

The fourth proportional to 10,382, 14,325 and 7,025.36 is: 9,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382 : 14,325 = 7,025.36 : x
  2. Step 2: Convert to fraction form
    10,382/14,325 = 7,025.36/x
  3. Step 3: Cross multiply
    10,382x = 14,325 × 7,025.36
  4. Step 4: Simplify right side
    10,382x = 100,638,282
  5. Step 5: Solve for x
    x = 100,638,282/10,382
  6. Step 6: Final answer
    x = 9,693.54

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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.