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Finding the Fourth Proportional to 10,615.74, 15,923.70 and 5,425.26

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Solution

The fourth proportional to 10,615.74, 15,923.70 and 5,425.26 is: 8,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.74 : 15,923.70 = 5,425.26 : x
  2. Step 2: Convert to fraction form
    10,615.74/15,923.70 = 5,425.26/x
  3. Step 3: Cross multiply
    10,615.74x = 15,923.70 × 5,425.26
  4. Step 4: Simplify right side
    10,615.74x = 86,390,212.66
  5. Step 5: Solve for x
    x = 86,390,212.66/10,615.74
  6. Step 6: Final answer
    x = 8,137.94

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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.