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Finding the Fourth Proportional to 12,684.90, 19,032.78 and 4,899.18

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Solution

The fourth proportional to 12,684.90, 19,032.78 and 4,899.18 is: 7,350.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.90 : 19,032.78 = 4,899.18 : x
  2. Step 2: Convert to fraction form
    12,684.90/19,032.78 = 4,899.18/x
  3. Step 3: Cross multiply
    12,684.90x = 19,032.78 × 4,899.18
  4. Step 4: Simplify right side
    12,684.90x = 93,245,015.12
  5. Step 5: Solve for x
    x = 93,245,015.12/12,684.90
  6. Step 6: Final answer
    x = 7,350.87

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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.