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Finding the Fourth Proportional to 10,003.94, 15,005.90 and 3,430.17

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Solution

The fourth proportional to 10,003.94, 15,005.90 and 3,430.17 is: 5,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.94 : 15,005.90 = 3,430.17 : x
  2. Step 2: Convert to fraction form
    10,003.94/15,005.90 = 3,430.17/x
  3. Step 3: Cross multiply
    10,003.94x = 15,005.90 × 3,430.17
  4. Step 4: Simplify right side
    10,003.94x = 51,472,770.85
  5. Step 5: Solve for x
    x = 51,472,770.85/10,003.94
  6. Step 6: Final answer
    x = 5,145.25

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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.