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Finding the Fourth Proportional to 3,085.10, 4,627.61 and 745.09

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Solution

The fourth proportional to 3,085.10, 4,627.61 and 745.09 is: 1,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.10 : 4,627.61 = 745.09 : x
  2. Step 2: Convert to fraction form
    3,085.10/4,627.61 = 745.09/x
  3. Step 3: Cross multiply
    3,085.10x = 4,627.61 × 745.09
  4. Step 4: Simplify right side
    3,085.10x = 3,447,959.07
  5. Step 5: Solve for x
    x = 3,447,959.07/3,085.10
  6. Step 6: Final answer
    x = 1,117.62

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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.