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Finding the Fourth Proportional to 5,671.64, 7,825.05 and 3,432.80

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Solution

The fourth proportional to 5,671.64, 7,825.05 and 3,432.80 is: 4,736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.64 : 7,825.05 = 3,432.80 : x
  2. Step 2: Convert to fraction form
    5,671.64/7,825.05 = 3,432.80/x
  3. Step 3: Cross multiply
    5,671.64x = 7,825.05 × 3,432.80
  4. Step 4: Simplify right side
    5,671.64x = 26,861,792.51
  5. Step 5: Solve for x
    x = 26,861,792.51/5,671.64
  6. Step 6: Final answer
    x = 4,736.16

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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.