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Finding the Fourth Proportional to 2,103, 2,902.58 and 1,394.89

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Solution

The fourth proportional to 2,103, 2,902.58 and 1,394.89 is: 1,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103 : 2,902.58 = 1,394.89 : x
  2. Step 2: Convert to fraction form
    2,103/2,902.58 = 1,394.89/x
  3. Step 3: Cross multiply
    2,103x = 2,902.58 × 1,394.89
  4. Step 4: Simplify right side
    2,103x = 4,048,779.82
  5. Step 5: Solve for x
    x = 4,048,779.82/2,103
  6. Step 6: Final answer
    x = 1,925.24

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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.