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Finding the Fourth Proportional to 28,602, 42,852.96 and 19,842.48

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Solution

The fourth proportional to 28,602, 42,852.96 and 19,842.48 is: 29,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,602 : 42,852.96 = 19,842.48 : x
  2. Step 2: Convert to fraction form
    28,602/42,852.96 = 19,842.48/x
  3. Step 3: Cross multiply
    28,602x = 42,852.96 × 19,842.48
  4. Step 4: Simplify right side
    28,602x = 850,309,001.74
  5. Step 5: Solve for x
    x = 850,309,001.74/28,602
  6. Step 6: Final answer
    x = 29,729.01

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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.