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Finding the Fourth Proportional to 7,037.30, 9,712.42 and 3,971.77

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Solution

The fourth proportional to 7,037.30, 9,712.42 and 3,971.77 is: 5,481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.30 : 9,712.42 = 3,971.77 : x
  2. Step 2: Convert to fraction form
    7,037.30/9,712.42 = 3,971.77/x
  3. Step 3: Cross multiply
    7,037.30x = 9,712.42 × 3,971.77
  4. Step 4: Simplify right side
    7,037.30x = 38,575,467.43
  5. Step 5: Solve for x
    x = 38,575,467.43/7,037.30
  6. Step 6: Final answer
    x = 5,481.57

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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.