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Finding the Fourth Proportional to 2,085.51, 3,128.27 and 899.07

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Solution

The fourth proportional to 2,085.51, 3,128.27 and 899.07 is: 1,348.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.51 : 3,128.27 = 899.07 : x
  2. Step 2: Convert to fraction form
    2,085.51/3,128.27 = 899.07/x
  3. Step 3: Cross multiply
    2,085.51x = 3,128.27 × 899.07
  4. Step 4: Simplify right side
    2,085.51x = 2,812,529.21
  5. Step 5: Solve for x
    x = 2,812,529.21/2,085.51
  6. Step 6: Final answer
    x = 1,348.61

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Double scale
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Similar ratio
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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.