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Finding the Fourth Proportional to 10,003.58, 15,006.98 and 3,078.08

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Solution

The fourth proportional to 10,003.58, 15,006.98 and 3,078.08 is: 4,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.58 : 15,006.98 = 3,078.08 : x
  2. Step 2: Convert to fraction form
    10,003.58/15,006.98 = 3,078.08/x
  3. Step 3: Cross multiply
    10,003.58x = 15,006.98 × 3,078.08
  4. Step 4: Simplify right side
    10,003.58x = 46,192,609.96
  5. Step 5: Solve for x
    x = 46,192,609.96/10,003.58
  6. Step 6: Final answer
    x = 4,617.61

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1.5x scale

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.