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Finding the Fourth Proportional to 7,169, 10,753.50 and 2,305

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Solution

The fourth proportional to 7,169, 10,753.50 and 2,305 is: 3,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,169 : 10,753.50 = 2,305 : x
  2. Step 2: Convert to fraction form
    7,169/10,753.50 = 2,305/x
  3. Step 3: Cross multiply
    7,169x = 10,753.50 × 2,305
  4. Step 4: Simplify right side
    7,169x = 24,786,817.50
  5. Step 5: Solve for x
    x = 24,786,817.50/7,169
  6. Step 6: Final answer
    x = 3,457.50

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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.