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Finding the Fourth Proportional to 10,361.52, 15,536.88 and 5,419.20

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Solution

The fourth proportional to 10,361.52, 15,536.88 and 5,419.20 is: 8,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.52 : 15,536.88 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    10,361.52/15,536.88 = 5,419.20/x
  3. Step 3: Cross multiply
    10,361.52x = 15,536.88 × 5,419.20
  4. Step 4: Simplify right side
    10,361.52x = 84,197,460.10
  5. Step 5: Solve for x
    x = 84,197,460.10/10,361.52
  6. Step 6: Final answer
    x = 8,125.98

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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.