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Finding the Fourth Proportional to 2,655.44, 3,981.62 and 899.86

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Solution

The fourth proportional to 2,655.44, 3,981.62 and 899.86 is: 1,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.44 : 3,981.62 = 899.86 : x
  2. Step 2: Convert to fraction form
    2,655.44/3,981.62 = 899.86/x
  3. Step 3: Cross multiply
    2,655.44x = 3,981.62 × 899.86
  4. Step 4: Simplify right side
    2,655.44x = 3,582,900.57
  5. Step 5: Solve for x
    x = 3,582,900.57/2,655.44
  6. Step 6: Final answer
    x = 1,349.27

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Half scale
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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.