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Finding the Fourth Proportional to 12,499, 17,249 and 6,833.62

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Solution

The fourth proportional to 12,499, 17,249 and 6,833.62 is: 9,430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499 : 17,249 = 6,833.62 : x
  2. Step 2: Convert to fraction form
    12,499/17,249 = 6,833.62/x
  3. Step 3: Cross multiply
    12,499x = 17,249 × 6,833.62
  4. Step 4: Simplify right side
    12,499x = 117,873,111.38
  5. Step 5: Solve for x
    x = 117,873,111.38/12,499
  6. Step 6: Final answer
    x = 9,430.60

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1.5x scale

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.