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Finding the Fourth Proportional to 8,565.65, 11,823.86 and 5,582.21

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Solution

The fourth proportional to 8,565.65, 11,823.86 and 5,582.21 is: 7,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.65 : 11,823.86 = 5,582.21 : x
  2. Step 2: Convert to fraction form
    8,565.65/11,823.86 = 5,582.21/x
  3. Step 3: Cross multiply
    8,565.65x = 11,823.86 × 5,582.21
  4. Step 4: Simplify right side
    8,565.65x = 66,003,241.62
  5. Step 5: Solve for x
    x = 66,003,241.62/8,565.65
  6. Step 6: Final answer
    x = 7,705.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.