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Finding the Fourth Proportional to 7,038.25, 9,712.89 and 3,894.43

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Solution

The fourth proportional to 7,038.25, 9,712.89 and 3,894.43 is: 5,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.25 : 9,712.89 = 3,894.43 : x
  2. Step 2: Convert to fraction form
    7,038.25/9,712.89 = 3,894.43/x
  3. Step 3: Cross multiply
    7,038.25x = 9,712.89 × 3,894.43
  4. Step 4: Simplify right side
    7,038.25x = 37,826,170.20
  5. Step 5: Solve for x
    x = 37,826,170.20/7,038.25
  6. Step 6: Final answer
    x = 5,374.37

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1.5x scale

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.