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Finding the Fourth Proportional to 5,971.32, 8,235.54 and 3,871.80

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Solution

The fourth proportional to 5,971.32, 8,235.54 and 3,871.80 is: 5,339.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.32 : 8,235.54 = 3,871.80 : x
  2. Step 2: Convert to fraction form
    5,971.32/8,235.54 = 3,871.80/x
  3. Step 3: Cross multiply
    5,971.32x = 8,235.54 × 3,871.80
  4. Step 4: Simplify right side
    5,971.32x = 31,886,363.77
  5. Step 5: Solve for x
    x = 31,886,363.77/5,971.32
  6. Step 6: Final answer
    x = 5,339.92

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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.