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Finding the Fourth Proportional to 10,938, 15,094.44 and 5,970

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Solution

The fourth proportional to 10,938, 15,094.44 and 5,970 is: 8,238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938 : 15,094.44 = 5,970 : x
  2. Step 2: Convert to fraction form
    10,938/15,094.44 = 5,970/x
  3. Step 3: Cross multiply
    10,938x = 15,094.44 × 5,970
  4. Step 4: Simplify right side
    10,938x = 90,113,806.80
  5. Step 5: Solve for x
    x = 90,113,806.80/10,938
  6. Step 6: Final answer
    x = 8,238.60

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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.