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Finding the Fourth Proportional to 28,909.68, 43,349.16 and 13,314

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Solution

The fourth proportional to 28,909.68, 43,349.16 and 13,314 is: 19,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,909.68 : 43,349.16 = 13,314 : x
  2. Step 2: Convert to fraction form
    28,909.68/43,349.16 = 13,314/x
  3. Step 3: Cross multiply
    28,909.68x = 43,349.16 × 13,314
  4. Step 4: Simplify right side
    28,909.68x = 577,150,716.24
  5. Step 5: Solve for x
    x = 577,150,716.24/28,909.68
  6. Step 6: Final answer
    x = 19,963.93

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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.