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Finding the Fourth Proportional to 3,085.66, 4,629.02 and 1,005.08

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Solution

The fourth proportional to 3,085.66, 4,629.02 and 1,005.08 is: 1,507.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.66 : 4,629.02 = 1,005.08 : x
  2. Step 2: Convert to fraction form
    3,085.66/4,629.02 = 1,005.08/x
  3. Step 3: Cross multiply
    3,085.66x = 4,629.02 × 1,005.08
  4. Step 4: Simplify right side
    3,085.66x = 4,652,507.25
  5. Step 5: Solve for x
    x = 4,652,507.25/3,085.66
  6. Step 6: Final answer
    x = 1,507.78

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1.5x scale

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.