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Finding the Fourth Proportional to 1,925.28, 2,887.20 and 1,619.28

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Solution

The fourth proportional to 1,925.28, 2,887.20 and 1,619.28 is: 2,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.28 : 2,887.20 = 1,619.28 : x
  2. Step 2: Convert to fraction form
    1,925.28/2,887.20 = 1,619.28/x
  3. Step 3: Cross multiply
    1,925.28x = 2,887.20 × 1,619.28
  4. Step 4: Simplify right side
    1,925.28x = 4,675,185.22
  5. Step 5: Solve for x
    x = 4,675,185.22/1,925.28
  6. Step 6: Final answer
    x = 2,428.31

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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.