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Finding the Fourth Proportional to 10,051.08, 15,078.10 and 3,475.50

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Solution

The fourth proportional to 10,051.08, 15,078.10 and 3,475.50 is: 5,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,051.08 : 15,078.10 = 3,475.50 : x
  2. Step 2: Convert to fraction form
    10,051.08/15,078.10 = 3,475.50/x
  3. Step 3: Cross multiply
    10,051.08x = 15,078.10 × 3,475.50
  4. Step 4: Simplify right side
    10,051.08x = 52,403,936.55
  5. Step 5: Solve for x
    x = 52,403,936.55/10,051.08
  6. Step 6: Final answer
    x = 5,213.76

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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.