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Finding the Fourth Proportional to 8,509.58, 12,770.61 and 5,586.86

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Solution

The fourth proportional to 8,509.58, 12,770.61 and 5,586.86 is: 8,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.58 : 12,770.61 = 5,586.86 : x
  2. Step 2: Convert to fraction form
    8,509.58/12,770.61 = 5,586.86/x
  3. Step 3: Cross multiply
    8,509.58x = 12,770.61 × 5,586.86
  4. Step 4: Simplify right side
    8,509.58x = 71,347,610.18
  5. Step 5: Solve for x
    x = 71,347,610.18/8,509.58
  6. Step 6: Final answer
    x = 8,384.39

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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.