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Finding the Fourth Proportional to 1,888.94, 2,832.61 and 1,011.25

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Solution

The fourth proportional to 1,888.94, 2,832.61 and 1,011.25 is: 1,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.94 : 2,832.61 = 1,011.25 : x
  2. Step 2: Convert to fraction form
    1,888.94/2,832.61 = 1,011.25/x
  3. Step 3: Cross multiply
    1,888.94x = 2,832.61 × 1,011.25
  4. Step 4: Simplify right side
    1,888.94x = 2,864,467.25
  5. Step 5: Solve for x
    x = 2,864,467.25/1,888.94
  6. Step 6: Final answer
    x = 1,516.45

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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.