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Finding the Fourth Proportional to 12,690, 19,035 and 4,902.12

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Solution

The fourth proportional to 12,690, 19,035 and 4,902.12 is: 7,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690 : 19,035 = 4,902.12 : x
  2. Step 2: Convert to fraction form
    12,690/19,035 = 4,902.12/x
  3. Step 3: Cross multiply
    12,690x = 19,035 × 4,902.12
  4. Step 4: Simplify right side
    12,690x = 93,311,854.20
  5. Step 5: Solve for x
    x = 93,311,854.20/12,690
  6. Step 6: Final answer
    x = 7,353.18

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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.