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Finding the Fourth Proportional to 8,509.80, 12,764.70 and 2,666.40

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Solution

The fourth proportional to 8,509.80, 12,764.70 and 2,666.40 is: 3,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.80 : 12,764.70 = 2,666.40 : x
  2. Step 2: Convert to fraction form
    8,509.80/12,764.70 = 2,666.40/x
  3. Step 3: Cross multiply
    8,509.80x = 12,764.70 × 2,666.40
  4. Step 4: Simplify right side
    8,509.80x = 34,035,796.08
  5. Step 5: Solve for x
    x = 34,035,796.08/8,509.80
  6. Step 6: Final answer
    x = 3,999.60

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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.