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Finding the Fourth Proportional to 28,641.60, 42,978.06 and 11,112.12

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Solution

The fourth proportional to 28,641.60, 42,978.06 and 11,112.12 is: 16,674.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,641.60 : 42,978.06 = 11,112.12 : x
  2. Step 2: Convert to fraction form
    28,641.60/42,978.06 = 11,112.12/x
  3. Step 3: Cross multiply
    28,641.60x = 42,978.06 × 11,112.12
  4. Step 4: Simplify right side
    28,641.60x = 477,577,360.09
  5. Step 5: Solve for x
    x = 477,577,360.09/28,641.60
  6. Step 6: Final answer
    x = 16,674.26

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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.