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Finding the Fourth Proportional to 28,742.70, 43,118.10 and 9,019.20

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Solution

The fourth proportional to 28,742.70, 43,118.10 and 9,019.20 is: 13,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,742.70 : 43,118.10 = 9,019.20 : x
  2. Step 2: Convert to fraction form
    28,742.70/43,118.10 = 9,019.20/x
  3. Step 3: Cross multiply
    28,742.70x = 43,118.10 × 9,019.20
  4. Step 4: Simplify right side
    28,742.70x = 388,890,767.52
  5. Step 5: Solve for x
    x = 388,890,767.52/28,742.70
  6. Step 6: Final answer
    x = 13,530.07

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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.