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Finding the Fourth Proportional to 10,014.21, 13,811.22 and 7,502.22

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Solution

The fourth proportional to 10,014.21, 13,811.22 and 7,502.22 is: 10,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.21 : 13,811.22 = 7,502.22 : x
  2. Step 2: Convert to fraction form
    10,014.21/13,811.22 = 7,502.22/x
  3. Step 3: Cross multiply
    10,014.21x = 13,811.22 × 7,502.22
  4. Step 4: Simplify right side
    10,014.21x = 103,614,810.91
  5. Step 5: Solve for x
    x = 103,614,810.91/10,014.21
  6. Step 6: Final answer
    x = 10,346.78

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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.