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Finding the Fourth Proportional to 7,488, 11,217.24 and 3,779.28

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Solution

The fourth proportional to 7,488, 11,217.24 and 3,779.28 is: 5,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488 : 11,217.24 = 3,779.28 : x
  2. Step 2: Convert to fraction form
    7,488/11,217.24 = 3,779.28/x
  3. Step 3: Cross multiply
    7,488x = 11,217.24 × 3,779.28
  4. Step 4: Simplify right side
    7,488x = 42,393,090.79
  5. Step 5: Solve for x
    x = 42,393,090.79/7,488
  6. Step 6: Final answer
    x = 5,661.47

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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.