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Finding the Fourth Proportional to 15,384.88, 23,077.32 and 8,815.24

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Solution

The fourth proportional to 15,384.88, 23,077.32 and 8,815.24 is: 13,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.88 : 23,077.32 = 8,815.24 : x
  2. Step 2: Convert to fraction form
    15,384.88/23,077.32 = 8,815.24/x
  3. Step 3: Cross multiply
    15,384.88x = 23,077.32 × 8,815.24
  4. Step 4: Simplify right side
    15,384.88x = 203,432,114.36
  5. Step 5: Solve for x
    x = 203,432,114.36/15,384.88
  6. Step 6: Final answer
    x = 13,222.86

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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.