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Finding the Fourth Proportional to 8,365.03, 11,543.40 and 5,005.87

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Solution

The fourth proportional to 8,365.03, 11,543.40 and 5,005.87 is: 6,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,365.03 : 11,543.40 = 5,005.87 : x
  2. Step 2: Convert to fraction form
    8,365.03/11,543.40 = 5,005.87/x
  3. Step 3: Cross multiply
    8,365.03x = 11,543.40 × 5,005.87
  4. Step 4: Simplify right side
    8,365.03x = 57,784,730.90
  5. Step 5: Solve for x
    x = 57,784,730.90/8,365.03
  6. Step 6: Final answer
    x = 6,907.89

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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.