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Finding the Fourth Proportional to 28,142.88, 42,219.44 and 9,421.12

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Solution

The fourth proportional to 28,142.88, 42,219.44 and 9,421.12 is: 14,133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,142.88 : 42,219.44 = 9,421.12 : x
  2. Step 2: Convert to fraction form
    28,142.88/42,219.44 = 9,421.12/x
  3. Step 3: Cross multiply
    28,142.88x = 42,219.44 × 9,421.12
  4. Step 4: Simplify right side
    28,142.88x = 397,754,410.57
  5. Step 5: Solve for x
    x = 397,754,410.57/28,142.88
  6. Step 6: Final answer
    x = 14,133.39

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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.