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Finding the Fourth Proportional to 18,894.96, 28,342.44 and 6,415.02

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Solution

The fourth proportional to 18,894.96, 28,342.44 and 6,415.02 is: 9,622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,894.96 : 28,342.44 = 6,415.02 : x
  2. Step 2: Convert to fraction form
    18,894.96/28,342.44 = 6,415.02/x
  3. Step 3: Cross multiply
    18,894.96x = 28,342.44 × 6,415.02
  4. Step 4: Simplify right side
    18,894.96x = 181,817,319.45
  5. Step 5: Solve for x
    x = 181,817,319.45/18,894.96
  6. Step 6: Final answer
    x = 9,622.53

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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.