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Finding the Fourth Proportional to 20,639.64, 30,959.46 and 8,319

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Solution

The fourth proportional to 20,639.64, 30,959.46 and 8,319 is: 12,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,639.64 : 30,959.46 = 8,319 : x
  2. Step 2: Convert to fraction form
    20,639.64/30,959.46 = 8,319/x
  3. Step 3: Cross multiply
    20,639.64x = 30,959.46 × 8,319
  4. Step 4: Simplify right side
    20,639.64x = 257,551,747.74
  5. Step 5: Solve for x
    x = 257,551,747.74/20,639.64
  6. Step 6: Final answer
    x = 12,478.50

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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.