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Finding the Fourth Proportional to 28,133.78, 42,208.16 and 8,412.53

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Solution

The fourth proportional to 28,133.78, 42,208.16 and 8,412.53 is: 12,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,133.78 : 42,208.16 = 8,412.53 : x
  2. Step 2: Convert to fraction form
    28,133.78/42,208.16 = 8,412.53/x
  3. Step 3: Cross multiply
    28,133.78x = 42,208.16 × 8,412.53
  4. Step 4: Simplify right side
    28,133.78x = 355,077,159.14
  5. Step 5: Solve for x
    x = 355,077,159.14/28,133.78
  6. Step 6: Final answer
    x = 12,621.03

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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.