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Finding the Fourth Proportional to 15,131.50, 20,881.47 and 8,507.50

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Solution

The fourth proportional to 15,131.50, 20,881.47 and 8,507.50 is: 11,740.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.50 : 20,881.47 = 8,507.50 : x
  2. Step 2: Convert to fraction form
    15,131.50/20,881.47 = 8,507.50/x
  3. Step 3: Cross multiply
    15,131.50x = 20,881.47 × 8,507.50
  4. Step 4: Simplify right side
    15,131.50x = 177,649,106.03
  5. Step 5: Solve for x
    x = 177,649,106.03/15,131.50
  6. Step 6: Final answer
    x = 11,740.35

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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.