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Finding the Fourth Proportional to 8,509.07, 12,766.20 and 4,352

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Solution

The fourth proportional to 8,509.07, 12,766.20 and 4,352 is: 6,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.07 : 12,766.20 = 4,352 : x
  2. Step 2: Convert to fraction form
    8,509.07/12,766.20 = 4,352/x
  3. Step 3: Cross multiply
    8,509.07x = 12,766.20 × 4,352
  4. Step 4: Simplify right side
    8,509.07x = 55,558,502.40
  5. Step 5: Solve for x
    x = 55,558,502.40/8,509.07
  6. Step 6: Final answer
    x = 6,529.33

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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.