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Finding the Fourth Proportional to 10,488, 15,728.64 and 3,466.38

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Solution

The fourth proportional to 10,488, 15,728.64 and 3,466.38 is: 5,198.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488 : 15,728.64 = 3,466.38 : x
  2. Step 2: Convert to fraction form
    10,488/15,728.64 = 3,466.38/x
  3. Step 3: Cross multiply
    10,488x = 15,728.64 × 3,466.38
  4. Step 4: Simplify right side
    10,488x = 54,521,443.12
  5. Step 5: Solve for x
    x = 54,521,443.12/10,488
  6. Step 6: Final answer
    x = 5,198.46

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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.