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Finding the Fourth Proportional to 10,003.84, 15,006.02 and 3,430

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Solution

The fourth proportional to 10,003.84, 15,006.02 and 3,430 is: 5,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.84 : 15,006.02 = 3,430 : x
  2. Step 2: Convert to fraction form
    10,003.84/15,006.02 = 3,430/x
  3. Step 3: Cross multiply
    10,003.84x = 15,006.02 × 3,430
  4. Step 4: Simplify right side
    10,003.84x = 51,470,648.60
  5. Step 5: Solve for x
    x = 51,470,648.60/10,003.84
  6. Step 6: Final answer
    x = 5,145.09

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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.