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Finding the Fourth Proportional to 8,507.52, 12,763.70 and 3,314.88

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Solution

The fourth proportional to 8,507.52, 12,763.70 and 3,314.88 is: 4,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.52 : 12,763.70 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    8,507.52/12,763.70 = 3,314.88/x
  3. Step 3: Cross multiply
    8,507.52x = 12,763.70 × 3,314.88
  4. Step 4: Simplify right side
    8,507.52x = 42,310,133.86
  5. Step 5: Solve for x
    x = 42,310,133.86/8,507.52
  6. Step 6: Final answer
    x = 4,973.26

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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.