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Finding the Fourth Proportional to 1,925.28, 2,889 and 1,815.12

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Solution

The fourth proportional to 1,925.28, 2,889 and 1,815.12 is: 2,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.28 : 2,889 = 1,815.12 : x
  2. Step 2: Convert to fraction form
    1,925.28/2,889 = 1,815.12/x
  3. Step 3: Cross multiply
    1,925.28x = 2,889 × 1,815.12
  4. Step 4: Simplify right side
    1,925.28x = 5,243,881.68
  5. Step 5: Solve for x
    x = 5,243,881.68/1,925.28
  6. Step 6: Final answer
    x = 2,723.70

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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.