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Finding the Fourth Proportional to 10,679.74, 14,743.02 and 7,145.26

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Solution

The fourth proportional to 10,679.74, 14,743.02 and 7,145.26 is: 9,863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.74 : 14,743.02 = 7,145.26 : x
  2. Step 2: Convert to fraction form
    10,679.74/14,743.02 = 7,145.26/x
  3. Step 3: Cross multiply
    10,679.74x = 14,743.02 × 7,145.26
  4. Step 4: Simplify right side
    10,679.74x = 105,342,711.09
  5. Step 5: Solve for x
    x = 105,342,711.09/10,679.74
  6. Step 6: Final answer
    x = 9,863.79

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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.