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Finding the Fourth Proportional to 28,084, 42,138.30 and 13,303.48

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Solution

The fourth proportional to 28,084, 42,138.30 and 13,303.48 is: 19,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,084 : 42,138.30 = 13,303.48 : x
  2. Step 2: Convert to fraction form
    28,084/42,138.30 = 13,303.48/x
  3. Step 3: Cross multiply
    28,084x = 42,138.30 × 13,303.48
  4. Step 4: Simplify right side
    28,084x = 560,586,031.28
  5. Step 5: Solve for x
    x = 560,586,031.28/28,084
  6. Step 6: Final answer
    x = 19,961.05

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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.