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Finding the Fourth Proportional to 5,886.72, 8,120 and 3,792.32

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Solution

The fourth proportional to 5,886.72, 8,120 and 3,792.32 is: 5,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,886.72 : 8,120 = 3,792.32 : x
  2. Step 2: Convert to fraction form
    5,886.72/8,120 = 3,792.32/x
  3. Step 3: Cross multiply
    5,886.72x = 8,120 × 3,792.32
  4. Step 4: Simplify right side
    5,886.72x = 30,793,638.40
  5. Step 5: Solve for x
    x = 30,793,638.40/5,886.72
  6. Step 6: Final answer
    x = 5,231.04

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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.