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Finding the Fourth Proportional to 15,059.78, 20,782.64 and 8,345.48

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Solution

The fourth proportional to 15,059.78, 20,782.64 and 8,345.48 is: 11,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,059.78 : 20,782.64 = 8,345.48 : x
  2. Step 2: Convert to fraction form
    15,059.78/20,782.64 = 8,345.48/x
  3. Step 3: Cross multiply
    15,059.78x = 20,782.64 × 8,345.48
  4. Step 4: Simplify right side
    15,059.78x = 173,441,116.70
  5. Step 5: Solve for x
    x = 173,441,116.70/15,059.78
  6. Step 6: Final answer
    x = 11,516.85

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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.