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Finding the Fourth Proportional to 1,612.41, 2,224.86 and 913.65

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Solution

The fourth proportional to 1,612.41, 2,224.86 and 913.65 is: 1,260.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.41 : 2,224.86 = 913.65 : x
  2. Step 2: Convert to fraction form
    1,612.41/2,224.86 = 913.65/x
  3. Step 3: Cross multiply
    1,612.41x = 2,224.86 × 913.65
  4. Step 4: Simplify right side
    1,612.41x = 2,032,743.34
  5. Step 5: Solve for x
    x = 2,032,743.34/1,612.41
  6. Step 6: Final answer
    x = 1,260.69

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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.