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Finding the Fourth Proportional to 13,361.64, 18,438.52 and 7,697.20

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Solution

The fourth proportional to 13,361.64, 18,438.52 and 7,697.20 is: 10,621.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,361.64 : 18,438.52 = 7,697.20 : x
  2. Step 2: Convert to fraction form
    13,361.64/18,438.52 = 7,697.20/x
  3. Step 3: Cross multiply
    13,361.64x = 18,438.52 × 7,697.20
  4. Step 4: Simplify right side
    13,361.64x = 141,924,976.14
  5. Step 5: Solve for x
    x = 141,924,976.14/13,361.64
  6. Step 6: Final answer
    x = 10,621.82

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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.