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Finding the Fourth Proportional to 13,322.47, 19,978.50 and 4,997.95

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Solution

The fourth proportional to 13,322.47, 19,978.50 and 4,997.95 is: 7,494.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,322.47 : 19,978.50 = 4,997.95 : x
  2. Step 2: Convert to fraction form
    13,322.47/19,978.50 = 4,997.95/x
  3. Step 3: Cross multiply
    13,322.47x = 19,978.50 × 4,997.95
  4. Step 4: Simplify right side
    13,322.47x = 99,851,544.08
  5. Step 5: Solve for x
    x = 99,851,544.08/13,322.47
  6. Step 6: Final answer
    x = 7,494.97

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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.