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Finding the Fourth Proportional to 2,102.27, 2,900.45 and 1,354.91

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Solution

The fourth proportional to 2,102.27, 2,900.45 and 1,354.91 is: 1,869.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.27 : 2,900.45 = 1,354.91 : x
  2. Step 2: Convert to fraction form
    2,102.27/2,900.45 = 1,354.91/x
  3. Step 3: Cross multiply
    2,102.27x = 2,900.45 × 1,354.91
  4. Step 4: Simplify right side
    2,102.27x = 3,929,848.71
  5. Step 5: Solve for x
    x = 3,929,848.71/2,102.27
  6. Step 6: Final answer
    x = 1,869.34

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