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Finding the Fourth Proportional to 8,405.40, 11,574.43 and 8,218.93

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Solution

The fourth proportional to 8,405.40, 11,574.43 and 8,218.93 is: 11,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.40 : 11,574.43 = 8,218.93 : x
  2. Step 2: Convert to fraction form
    8,405.40/11,574.43 = 8,218.93/x
  3. Step 3: Cross multiply
    8,405.40x = 11,574.43 × 8,218.93
  4. Step 4: Simplify right side
    8,405.40x = 95,129,429.96
  5. Step 5: Solve for x
    x = 95,129,429.96/8,405.40
  6. Step 6: Final answer
    x = 11,317.66

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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.