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Finding the Fourth Proportional to 8,587.47, 11,911.34 and 8,359.86

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Solution

The fourth proportional to 8,587.47, 11,911.34 and 8,359.86 is: 11,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.47 : 11,911.34 = 8,359.86 : x
  2. Step 2: Convert to fraction form
    8,587.47/11,911.34 = 8,359.86/x
  3. Step 3: Cross multiply
    8,587.47x = 11,911.34 × 8,359.86
  4. Step 4: Simplify right side
    8,587.47x = 99,577,134.81
  5. Step 5: Solve for x
    x = 99,577,134.81/8,587.47
  6. Step 6: Final answer
    x = 11,595.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.