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Finding the Fourth Proportional to 10,938, 15,094.44 and 6,748.68

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Solution

The fourth proportional to 10,938, 15,094.44 and 6,748.68 is: 9,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938 : 15,094.44 = 6,748.68 : x
  2. Step 2: Convert to fraction form
    10,938/15,094.44 = 6,748.68/x
  3. Step 3: Cross multiply
    10,938x = 15,094.44 × 6,748.68
  4. Step 4: Simplify right side
    10,938x = 101,867,545.34
  5. Step 5: Solve for x
    x = 101,867,545.34/10,938
  6. Step 6: Final answer
    x = 9,313.18

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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.