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Finding the Fourth Proportional to 2,709.21, 4,064.01 and 954.03

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Solution

The fourth proportional to 2,709.21, 4,064.01 and 954.03 is: 1,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.21 : 4,064.01 = 954.03 : x
  2. Step 2: Convert to fraction form
    2,709.21/4,064.01 = 954.03/x
  3. Step 3: Cross multiply
    2,709.21x = 4,064.01 × 954.03
  4. Step 4: Simplify right side
    2,709.21x = 3,877,187.46
  5. Step 5: Solve for x
    x = 3,877,187.46/2,709.21
  6. Step 6: Final answer
    x = 1,431.11

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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.