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Finding the Fourth Proportional to 15,311.28, 21,134.88 and 9,023.28

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Solution

The fourth proportional to 15,311.28, 21,134.88 and 9,023.28 is: 12,455.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.28 : 21,134.88 = 9,023.28 : x
  2. Step 2: Convert to fraction form
    15,311.28/21,134.88 = 9,023.28/x
  3. Step 3: Cross multiply
    15,311.28x = 21,134.88 × 9,023.28
  4. Step 4: Simplify right side
    15,311.28x = 190,705,940.01
  5. Step 5: Solve for x
    x = 190,705,940.01/15,311.28
  6. Step 6: Final answer
    x = 12,455.26

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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.