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Finding the Fourth Proportional to 1,318.46, 1,978.46 and 1,184

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Solution

The fourth proportional to 1,318.46, 1,978.46 and 1,184 is: 1,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.46 : 1,978.46 = 1,184 : x
  2. Step 2: Convert to fraction form
    1,318.46/1,978.46 = 1,184/x
  3. Step 3: Cross multiply
    1,318.46x = 1,978.46 × 1,184
  4. Step 4: Simplify right side
    1,318.46x = 2,342,496.64
  5. Step 5: Solve for x
    x = 2,342,496.64/1,318.46
  6. Step 6: Final answer
    x = 1,776.69

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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.