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Finding the Fourth Proportional to 12,394.51, 17,099.53 and 7,086.47

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Solution

The fourth proportional to 12,394.51, 17,099.53 and 7,086.47 is: 9,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.51 : 17,099.53 = 7,086.47 : x
  2. Step 2: Convert to fraction form
    12,394.51/17,099.53 = 7,086.47/x
  3. Step 3: Cross multiply
    12,394.51x = 17,099.53 × 7,086.47
  4. Step 4: Simplify right side
    12,394.51x = 121,175,203.15
  5. Step 5: Solve for x
    x = 121,175,203.15/12,394.51
  6. Step 6: Final answer
    x = 9,776.52

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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.