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Finding the Fourth Proportional to 5,678.82, 8,518.01 and 1,981.04

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Solution

The fourth proportional to 5,678.82, 8,518.01 and 1,981.04 is: 2,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.82 : 8,518.01 = 1,981.04 : x
  2. Step 2: Convert to fraction form
    5,678.82/8,518.01 = 1,981.04/x
  3. Step 3: Cross multiply
    5,678.82x = 8,518.01 × 1,981.04
  4. Step 4: Simplify right side
    5,678.82x = 16,874,466.04
  5. Step 5: Solve for x
    x = 16,874,466.04/5,678.82
  6. Step 6: Final answer
    x = 2,971.47

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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.