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Finding the Fourth Proportional to 9,773, 13,487.22 and 5,357

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Solution

The fourth proportional to 9,773, 13,487.22 and 5,357 is: 7,392.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773 : 13,487.22 = 5,357 : x
  2. Step 2: Convert to fraction form
    9,773/13,487.22 = 5,357/x
  3. Step 3: Cross multiply
    9,773x = 13,487.22 × 5,357
  4. Step 4: Simplify right side
    9,773x = 72,251,037.54
  5. Step 5: Solve for x
    x = 72,251,037.54/9,773
  6. Step 6: Final answer
    x = 7,392.92

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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.