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Finding the Fourth Proportional to 8,418.15, 12,574.17 and 8,184.87

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Solution

The fourth proportional to 8,418.15, 12,574.17 and 8,184.87 is: 12,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.15 : 12,574.17 = 8,184.87 : x
  2. Step 2: Convert to fraction form
    8,418.15/12,574.17 = 8,184.87/x
  3. Step 3: Cross multiply
    8,418.15x = 12,574.17 × 8,184.87
  4. Step 4: Simplify right side
    8,418.15x = 102,917,946.81
  5. Step 5: Solve for x
    x = 102,917,946.81/8,418.15
  6. Step 6: Final answer
    x = 12,225.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.