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Finding the Fourth Proportional to 2,235.25, 3,085.25 and 1,536.63

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Solution

The fourth proportional to 2,235.25, 3,085.25 and 1,536.63 is: 2,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.25 : 3,085.25 = 1,536.63 : x
  2. Step 2: Convert to fraction form
    2,235.25/3,085.25 = 1,536.63/x
  3. Step 3: Cross multiply
    2,235.25x = 3,085.25 × 1,536.63
  4. Step 4: Simplify right side
    2,235.25x = 4,740,887.71
  5. Step 5: Solve for x
    x = 4,740,887.71/2,235.25
  6. Step 6: Final answer
    x = 2,120.97

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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.