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Finding the Fourth Proportional to 28,364.78, 42,541.86 and 8,370.02

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Solution

The fourth proportional to 28,364.78, 42,541.86 and 8,370.02 is: 12,553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,364.78 : 42,541.86 = 8,370.02 : x
  2. Step 2: Convert to fraction form
    28,364.78/42,541.86 = 8,370.02/x
  3. Step 3: Cross multiply
    28,364.78x = 42,541.86 × 8,370.02
  4. Step 4: Simplify right side
    28,364.78x = 356,076,219.04
  5. Step 5: Solve for x
    x = 356,076,219.04/28,364.78
  6. Step 6: Final answer
    x = 12,553.46

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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.