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Finding the Fourth Proportional to 8,587.85, 11,911.86 and 8,360.24

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Solution

The fourth proportional to 8,587.85, 11,911.86 and 8,360.24 is: 11,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.85 : 11,911.86 = 8,360.24 : x
  2. Step 2: Convert to fraction form
    8,587.85/11,911.86 = 8,360.24/x
  3. Step 3: Cross multiply
    8,587.85x = 11,911.86 × 8,360.24
  4. Step 4: Simplify right side
    8,587.85x = 99,585,948.89
  5. Step 5: Solve for x
    x = 99,585,948.89/8,587.85
  6. Step 6: Final answer
    x = 11,596.15

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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.