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Finding the Fourth Proportional to 8,509.65, 12,764.48 and 2,666.72

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Solution

The fourth proportional to 8,509.65, 12,764.48 and 2,666.72 is: 4,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.65 : 12,764.48 = 2,666.72 : x
  2. Step 2: Convert to fraction form
    8,509.65/12,764.48 = 2,666.72/x
  3. Step 3: Cross multiply
    8,509.65x = 12,764.48 × 2,666.72
  4. Step 4: Simplify right side
    8,509.65x = 34,039,294.11
  5. Step 5: Solve for x
    x = 34,039,294.11/8,509.65
  6. Step 6: Final answer
    x = 4,000.08

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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.