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Finding the Fourth Proportional to 2,950.32, 4,428.02 and 1,564.64

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Solution

The fourth proportional to 2,950.32, 4,428.02 and 1,564.64 is: 2,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.32 : 4,428.02 = 1,564.64 : x
  2. Step 2: Convert to fraction form
    2,950.32/4,428.02 = 1,564.64/x
  3. Step 3: Cross multiply
    2,950.32x = 4,428.02 × 1,564.64
  4. Step 4: Simplify right side
    2,950.32x = 6,928,227.25
  5. Step 5: Solve for x
    x = 6,928,227.25/2,950.32
  6. Step 6: Final answer
    x = 2,348.30

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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.