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Finding the Fourth Proportional to 10,440.78, 15,661.17 and 3,045.99

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Solution

The fourth proportional to 10,440.78, 15,661.17 and 3,045.99 is: 4,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.78 : 15,661.17 = 3,045.99 : x
  2. Step 2: Convert to fraction form
    10,440.78/15,661.17 = 3,045.99/x
  3. Step 3: Cross multiply
    10,440.78x = 15,661.17 × 3,045.99
  4. Step 4: Simplify right side
    10,440.78x = 47,703,767.21
  5. Step 5: Solve for x
    x = 47,703,767.21/10,440.78
  6. Step 6: Final answer
    x = 4,568.99

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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.