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Finding the Fourth Proportional to 8,815.64, 12,165.11 and 5,038.30

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Solution

The fourth proportional to 8,815.64, 12,165.11 and 5,038.30 is: 6,952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,815.64 : 12,165.11 = 5,038.30 : x
  2. Step 2: Convert to fraction form
    8,815.64/12,165.11 = 5,038.30/x
  3. Step 3: Cross multiply
    8,815.64x = 12,165.11 × 5,038.30
  4. Step 4: Simplify right side
    8,815.64x = 61,291,496.79
  5. Step 5: Solve for x
    x = 61,291,496.79/8,815.64
  6. Step 6: Final answer
    x = 6,952.59

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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.