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Finding the Fourth Proportional to 15,090.75, 20,824.23 and 9,125.71

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Solution

The fourth proportional to 15,090.75, 20,824.23 and 9,125.71 is: 12,592.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,090.75 : 20,824.23 = 9,125.71 : x
  2. Step 2: Convert to fraction form
    15,090.75/20,824.23 = 9,125.71/x
  3. Step 3: Cross multiply
    15,090.75x = 20,824.23 × 9,125.71
  4. Step 4: Simplify right side
    15,090.75x = 190,035,831.89
  5. Step 5: Solve for x
    x = 190,035,831.89/15,090.75
  6. Step 6: Final answer
    x = 12,592.87

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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.