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Finding the Fourth Proportional to 2,803.51, 4,204.86 and 954.70

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Solution

The fourth proportional to 2,803.51, 4,204.86 and 954.70 is: 1,431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.51 : 4,204.86 = 954.70 : x
  2. Step 2: Convert to fraction form
    2,803.51/4,204.86 = 954.70/x
  3. Step 3: Cross multiply
    2,803.51x = 4,204.86 × 954.70
  4. Step 4: Simplify right side
    2,803.51x = 4,014,379.84
  5. Step 5: Solve for x
    x = 4,014,379.84/2,803.51
  6. Step 6: Final answer
    x = 1,431.91

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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.