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Finding the Fourth Proportional to 3,983.51, 5,497.02 and 2,214.77

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Solution

The fourth proportional to 3,983.51, 5,497.02 and 2,214.77 is: 3,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.51 : 5,497.02 = 2,214.77 : x
  2. Step 2: Convert to fraction form
    3,983.51/5,497.02 = 2,214.77/x
  3. Step 3: Cross multiply
    3,983.51x = 5,497.02 × 2,214.77
  4. Step 4: Simplify right side
    3,983.51x = 12,174,607.50
  5. Step 5: Solve for x
    x = 12,174,607.50/3,983.51
  6. Step 6: Final answer
    x = 3,056.25

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Half scale
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Double scale
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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.