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Finding the Fourth Proportional to 9,939, 13,715.82 and 5,747.52

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Solution

The fourth proportional to 9,939, 13,715.82 and 5,747.52 is: 7,931.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939 : 13,715.82 = 5,747.52 : x
  2. Step 2: Convert to fraction form
    9,939/13,715.82 = 5,747.52/x
  3. Step 3: Cross multiply
    9,939x = 13,715.82 × 5,747.52
  4. Step 4: Simplify right side
    9,939x = 78,831,949.77
  5. Step 5: Solve for x
    x = 78,831,949.77/9,939
  6. Step 6: Final answer
    x = 7,931.58

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1.5x scale

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.