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Finding the Fourth Proportional to 10,401.02, 15,600 and 3,381.68

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Solution

The fourth proportional to 10,401.02, 15,600 and 3,381.68 is: 5,072.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.02 : 15,600 = 3,381.68 : x
  2. Step 2: Convert to fraction form
    10,401.02/15,600 = 3,381.68/x
  3. Step 3: Cross multiply
    10,401.02x = 15,600 × 3,381.68
  4. Step 4: Simplify right side
    10,401.02x = 52,754,130
  5. Step 5: Solve for x
    x = 52,754,130/10,401.02
  6. Step 6: Final answer
    x = 5,072.01

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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.