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Finding the Fourth Proportional to 2,103.15, 2,938.65 and 2,103.15

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Solution

The fourth proportional to 2,103.15, 2,938.65 and 2,103.15 is: 2,938.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.15 : 2,938.65 = 2,103.15 : x
  2. Step 2: Convert to fraction form
    2,103.15/2,938.65 = 2,103.15/x
  3. Step 3: Cross multiply
    2,103.15x = 2,938.65 × 2,103.15
  4. Step 4: Simplify right side
    2,103.15x = 6,180,421.75
  5. Step 5: Solve for x
    x = 6,180,421.75/2,103.15
  6. Step 6: Final answer
    x = 2,938.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.