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Finding the Fourth Proportional to 10,328, 15,492.18 and 4,172

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Solution

The fourth proportional to 10,328, 15,492.18 and 4,172 is: 6,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,328 : 15,492.18 = 4,172 : x
  2. Step 2: Convert to fraction form
    10,328/15,492.18 = 4,172/x
  3. Step 3: Cross multiply
    10,328x = 15,492.18 × 4,172
  4. Step 4: Simplify right side
    10,328x = 64,633,374.96
  5. Step 5: Solve for x
    x = 64,633,374.96/10,328
  6. Step 6: Final answer
    x = 6,258.07

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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.