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Finding the Fourth Proportional to 8,367.84, 12,557.16 and 3,985.74

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Solution

The fourth proportional to 8,367.84, 12,557.16 and 3,985.74 is: 5,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.84 : 12,557.16 = 3,985.74 : x
  2. Step 2: Convert to fraction form
    8,367.84/12,557.16 = 3,985.74/x
  3. Step 3: Cross multiply
    8,367.84x = 12,557.16 × 3,985.74
  4. Step 4: Simplify right side
    8,367.84x = 50,049,574.90
  5. Step 5: Solve for x
    x = 50,049,574.90/8,367.84
  6. Step 6: Final answer
    x = 5,981.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.