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Finding the Fourth Proportional to 8,535.63, 12,809.22 and 2,989.02

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Solution

The fourth proportional to 8,535.63, 12,809.22 and 2,989.02 is: 4,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.63 : 12,809.22 = 2,989.02 : x
  2. Step 2: Convert to fraction form
    8,535.63/12,809.22 = 2,989.02/x
  3. Step 3: Cross multiply
    8,535.63x = 12,809.22 × 2,989.02
  4. Step 4: Simplify right side
    8,535.63x = 38,287,014.76
  5. Step 5: Solve for x
    x = 38,287,014.76/8,535.63
  6. Step 6: Final answer
    x = 4,485.55

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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.