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Finding the Fourth Proportional to 5,678.94, 8,518.47 and 1,981.17

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Solution

The fourth proportional to 5,678.94, 8,518.47 and 1,981.17 is: 2,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.94 : 8,518.47 = 1,981.17 : x
  2. Step 2: Convert to fraction form
    5,678.94/8,518.47 = 1,981.17/x
  3. Step 3: Cross multiply
    5,678.94x = 8,518.47 × 1,981.17
  4. Step 4: Simplify right side
    5,678.94x = 16,876,537.21
  5. Step 5: Solve for x
    x = 16,876,537.21/5,678.94
  6. Step 6: Final answer
    x = 2,971.78

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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.