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Finding the Fourth Proportional to 15,033, 20,746.50 and 8,409

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Solution

The fourth proportional to 15,033, 20,746.50 and 8,409 is: 11,604.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033 : 20,746.50 = 8,409 : x
  2. Step 2: Convert to fraction form
    15,033/20,746.50 = 8,409/x
  3. Step 3: Cross multiply
    15,033x = 20,746.50 × 8,409
  4. Step 4: Simplify right side
    15,033x = 174,457,318.50
  5. Step 5: Solve for x
    x = 174,457,318.50/15,033
  6. Step 6: Final answer
    x = 11,604.96

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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.