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Finding the Fourth Proportional to 20,314.53, 30,468.06 and 9,218.55

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Solution

The fourth proportional to 20,314.53, 30,468.06 and 9,218.55 is: 13,826.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,314.53 : 30,468.06 = 9,218.55 : x
  2. Step 2: Convert to fraction form
    20,314.53/30,468.06 = 9,218.55/x
  3. Step 3: Cross multiply
    20,314.53x = 30,468.06 × 9,218.55
  4. Step 4: Simplify right side
    20,314.53x = 280,871,334.51
  5. Step 5: Solve for x
    x = 280,871,334.51/20,314.53
  6. Step 6: Final answer
    x = 13,826.13

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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.