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Finding the Fourth Proportional to 12,102.30, 18,129.15 and 6,902.10

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Solution

The fourth proportional to 12,102.30, 18,129.15 and 6,902.10 is: 10,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.30 : 18,129.15 = 6,902.10 : x
  2. Step 2: Convert to fraction form
    12,102.30/18,129.15 = 6,902.10/x
  3. Step 3: Cross multiply
    12,102.30x = 18,129.15 × 6,902.10
  4. Step 4: Simplify right side
    12,102.30x = 125,129,206.22
  5. Step 5: Solve for x
    x = 125,129,206.22/12,102.30
  6. Step 6: Final answer
    x = 10,339.29

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1.5x scale

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.