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Finding the Fourth Proportional to 3,894.88, 5,841.48 and 1,120.94

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Solution

The fourth proportional to 3,894.88, 5,841.48 and 1,120.94 is: 1,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.88 : 5,841.48 = 1,120.94 : x
  2. Step 2: Convert to fraction form
    3,894.88/5,841.48 = 1,120.94/x
  3. Step 3: Cross multiply
    3,894.88x = 5,841.48 × 1,120.94
  4. Step 4: Simplify right side
    3,894.88x = 6,547,948.59
  5. Step 5: Solve for x
    x = 6,547,948.59/3,894.88
  6. Step 6: Final answer
    x = 1,681.17

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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.