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Finding the Fourth Proportional to 1,606.85, 2,217 and 1,009.41

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Solution

The fourth proportional to 1,606.85, 2,217 and 1,009.41 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.85 : 2,217 = 1,009.41 : x
  2. Step 2: Convert to fraction form
    1,606.85/2,217 = 1,009.41/x
  3. Step 3: Cross multiply
    1,606.85x = 2,217 × 1,009.41
  4. Step 4: Simplify right side
    1,606.85x = 2,237,850.89
  5. Step 5: Solve for x
    x = 2,237,850.89/1,606.85
  6. Step 6: Final answer
    x = 1,392.70

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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.