Home / 10,344.26-14,258.47-6,986

Finding the Fourth Proportional to 10,344.26, 14,258.47 and 6,986

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Solution

The fourth proportional to 10,344.26, 14,258.47 and 6,986 is: 9,629.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.26 : 14,258.47 = 6,986 : x
  2. Step 2: Convert to fraction form
    10,344.26/14,258.47 = 6,986/x
  3. Step 3: Cross multiply
    10,344.26x = 14,258.47 × 6,986
  4. Step 4: Simplify right side
    10,344.26x = 99,609,671.42
  5. Step 5: Solve for x
    x = 99,609,671.42/10,344.26
  6. Step 6: Final answer
    x = 9,629.46

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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.