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Finding the Fourth Proportional to 3,894.14, 5,842.10 and 1,120.83

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Solution

The fourth proportional to 3,894.14, 5,842.10 and 1,120.83 is: 1,681.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.14 : 5,842.10 = 1,120.83 : x
  2. Step 2: Convert to fraction form
    3,894.14/5,842.10 = 1,120.83/x
  3. Step 3: Cross multiply
    3,894.14x = 5,842.10 × 1,120.83
  4. Step 4: Simplify right side
    3,894.14x = 6,547,995.34
  5. Step 5: Solve for x
    x = 6,547,995.34/3,894.14
  6. Step 6: Final answer
    x = 1,681.50

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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.