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Finding the Fourth Proportional to 5,878.86, 8,812.62 and 1,981.14

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Solution

The fourth proportional to 5,878.86, 8,812.62 and 1,981.14 is: 2,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.86 : 8,812.62 = 1,981.14 : x
  2. Step 2: Convert to fraction form
    5,878.86/8,812.62 = 1,981.14/x
  3. Step 3: Cross multiply
    5,878.86x = 8,812.62 × 1,981.14
  4. Step 4: Simplify right side
    5,878.86x = 17,459,033.99
  5. Step 5: Solve for x
    x = 17,459,033.99/5,878.86
  6. Step 6: Final answer
    x = 2,969.80

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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.