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Finding the Fourth Proportional to 20,746, 31,119 and 6,154

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Solution

The fourth proportional to 20,746, 31,119 and 6,154 is: 9,231

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746 : 31,119 = 6,154 : x
  2. Step 2: Convert to fraction form
    20,746/31,119 = 6,154/x
  3. Step 3: Cross multiply
    20,746x = 31,119 × 6,154
  4. Step 4: Simplify right side
    20,746x = 191,506,326
  5. Step 5: Solve for x
    x = 191,506,326/20,746
  6. Step 6: Final answer
    x = 9,231

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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.