Home / 10,494-15,742.08-3,100.32

Finding the Fourth Proportional to 10,494, 15,742.08 and 3,100.32

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Solution

The fourth proportional to 10,494, 15,742.08 and 3,100.32 is: 4,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494 : 15,742.08 = 3,100.32 : x
  2. Step 2: Convert to fraction form
    10,494/15,742.08 = 3,100.32/x
  3. Step 3: Cross multiply
    10,494x = 15,742.08 × 3,100.32
  4. Step 4: Simplify right side
    10,494x = 48,805,485.47
  5. Step 5: Solve for x
    x = 48,805,485.47/10,494
  6. Step 6: Final answer
    x = 4,650.80

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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.