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Finding the Fourth Proportional to 7,808.10, 11,712.90 and 4,108.02

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Solution

The fourth proportional to 7,808.10, 11,712.90 and 4,108.02 is: 6,162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.10 : 11,712.90 = 4,108.02 : x
  2. Step 2: Convert to fraction form
    7,808.10/11,712.90 = 4,108.02/x
  3. Step 3: Cross multiply
    7,808.10x = 11,712.90 × 4,108.02
  4. Step 4: Simplify right side
    7,808.10x = 48,116,827.46
  5. Step 5: Solve for x
    x = 48,116,827.46/7,808.10
  6. Step 6: Final answer
    x = 6,162.42

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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.