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Finding the Fourth Proportional to 1,618.96, 2,234.64 and 1,059.70

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Solution

The fourth proportional to 1,618.96, 2,234.64 and 1,059.70 is: 1,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.96 : 2,234.64 = 1,059.70 : x
  2. Step 2: Convert to fraction form
    1,618.96/2,234.64 = 1,059.70/x
  3. Step 3: Cross multiply
    1,618.96x = 2,234.64 × 1,059.70
  4. Step 4: Simplify right side
    1,618.96x = 2,368,048.01
  5. Step 5: Solve for x
    x = 2,368,048.01/1,618.96
  6. Step 6: Final answer
    x = 1,462.70

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1.5x scale

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.