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Finding the Fourth Proportional to 8,533.57, 12,800.25 and 3,339.40

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Solution

The fourth proportional to 8,533.57, 12,800.25 and 3,339.40 is: 5,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.57 : 12,800.25 = 3,339.40 : x
  2. Step 2: Convert to fraction form
    8,533.57/12,800.25 = 3,339.40/x
  3. Step 3: Cross multiply
    8,533.57x = 12,800.25 × 3,339.40
  4. Step 4: Simplify right side
    8,533.57x = 42,745,154.85
  5. Step 5: Solve for x
    x = 42,745,154.85/8,533.57
  6. Step 6: Final answer
    x = 5,009.06

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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.