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Finding the Fourth Proportional to 1,888.64, 2,606.09 and 1,102.58

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Solution

The fourth proportional to 1,888.64, 2,606.09 and 1,102.58 is: 1,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.64 : 2,606.09 = 1,102.58 : x
  2. Step 2: Convert to fraction form
    1,888.64/2,606.09 = 1,102.58/x
  3. Step 3: Cross multiply
    1,888.64x = 2,606.09 × 1,102.58
  4. Step 4: Simplify right side
    1,888.64x = 2,873,422.71
  5. Step 5: Solve for x
    x = 2,873,422.71/1,888.64
  6. Step 6: Final answer
    x = 1,521.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.