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Finding the Fourth Proportional to 1,346.19, 1,856.84 and 849.47

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Solution

The fourth proportional to 1,346.19, 1,856.84 and 849.47 is: 1,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.19 : 1,856.84 = 849.47 : x
  2. Step 2: Convert to fraction form
    1,346.19/1,856.84 = 849.47/x
  3. Step 3: Cross multiply
    1,346.19x = 1,856.84 × 849.47
  4. Step 4: Simplify right side
    1,346.19x = 1,577,316.34
  5. Step 5: Solve for x
    x = 1,577,316.34/1,346.19
  6. Step 6: Final answer
    x = 1,171.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.