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Finding the Fourth Proportional to 5,078.64, 7,009.12 and 3,897.66

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Solution

The fourth proportional to 5,078.64, 7,009.12 and 3,897.66 is: 5,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.64 : 7,009.12 = 3,897.66 : x
  2. Step 2: Convert to fraction form
    5,078.64/7,009.12 = 3,897.66/x
  3. Step 3: Cross multiply
    5,078.64x = 7,009.12 × 3,897.66
  4. Step 4: Simplify right side
    5,078.64x = 27,319,166.66
  5. Step 5: Solve for x
    x = 27,319,166.66/5,078.64
  6. Step 6: Final answer
    x = 5,379.23

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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.