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Finding the Fourth Proportional to 8,364.96, 12,547.59 and 3,981.54

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Solution

The fourth proportional to 8,364.96, 12,547.59 and 3,981.54 is: 5,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.96 : 12,547.59 = 3,981.54 : x
  2. Step 2: Convert to fraction form
    8,364.96/12,547.59 = 3,981.54/x
  3. Step 3: Cross multiply
    8,364.96x = 12,547.59 × 3,981.54
  4. Step 4: Simplify right side
    8,364.96x = 49,958,731.49
  5. Step 5: Solve for x
    x = 49,958,731.49/8,364.96
  6. Step 6: Final answer
    x = 5,972.38

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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.