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Finding the Fourth Proportional to 6,459.68, 8,911.22 and 4,221.65

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Solution

The fourth proportional to 6,459.68, 8,911.22 and 4,221.65 is: 5,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.68 : 8,911.22 = 4,221.65 : x
  2. Step 2: Convert to fraction form
    6,459.68/8,911.22 = 4,221.65/x
  3. Step 3: Cross multiply
    6,459.68x = 8,911.22 × 4,221.65
  4. Step 4: Simplify right side
    6,459.68x = 37,620,053.08
  5. Step 5: Solve for x
    x = 37,620,053.08/6,459.68
  6. Step 6: Final answer
    x = 5,823.82

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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.