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Finding the Fourth Proportional to 28,212.30, 42,319.30 and 12,409.14

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Solution

The fourth proportional to 28,212.30, 42,319.30 and 12,409.14 is: 18,614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,212.30 : 42,319.30 = 12,409.14 : x
  2. Step 2: Convert to fraction form
    28,212.30/42,319.30 = 12,409.14/x
  3. Step 3: Cross multiply
    28,212.30x = 42,319.30 × 12,409.14
  4. Step 4: Simplify right side
    28,212.30x = 525,146,118.40
  5. Step 5: Solve for x
    x = 525,146,118.40/28,212.30
  6. Step 6: Final answer
    x = 18,614.08

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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.