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Finding the Fourth Proportional to 10,428.69, 15,643.10 and 3,033.20

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Solution

The fourth proportional to 10,428.69, 15,643.10 and 3,033.20 is: 4,549.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.69 : 15,643.10 = 3,033.20 : x
  2. Step 2: Convert to fraction form
    10,428.69/15,643.10 = 3,033.20/x
  3. Step 3: Cross multiply
    10,428.69x = 15,643.10 × 3,033.20
  4. Step 4: Simplify right side
    10,428.69x = 47,448,650.92
  5. Step 5: Solve for x
    x = 47,448,650.92/10,428.69
  6. Step 6: Final answer
    x = 4,549.82

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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.