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Finding the Fourth Proportional to 5,488, 7,570.08 and 3,918.24

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Solution

The fourth proportional to 5,488, 7,570.08 and 3,918.24 is: 5,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488 : 7,570.08 = 3,918.24 : x
  2. Step 2: Convert to fraction form
    5,488/7,570.08 = 3,918.24/x
  3. Step 3: Cross multiply
    5,488x = 7,570.08 × 3,918.24
  4. Step 4: Simplify right side
    5,488x = 29,661,390.26
  5. Step 5: Solve for x
    x = 29,661,390.26/5,488
  6. Step 6: Final answer
    x = 5,404.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.