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Finding the Fourth Proportional to 28,715, 43,051.80 and 19,331.84

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Solution

The fourth proportional to 28,715, 43,051.80 and 19,331.84 is: 28,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,715 : 43,051.80 = 19,331.84 : x
  2. Step 2: Convert to fraction form
    28,715/43,051.80 = 19,331.84/x
  3. Step 3: Cross multiply
    28,715x = 43,051.80 × 19,331.84
  4. Step 4: Simplify right side
    28,715x = 832,270,509.31
  5. Step 5: Solve for x
    x = 832,270,509.31/28,715
  6. Step 6: Final answer
    x = 28,983.82

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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.