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Finding the Fourth Proportional to 5,671.97, 7,820.54 and 3,681.80

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Solution

The fourth proportional to 5,671.97, 7,820.54 and 3,681.80 is: 5,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.97 : 7,820.54 = 3,681.80 : x
  2. Step 2: Convert to fraction form
    5,671.97/7,820.54 = 3,681.80/x
  3. Step 3: Cross multiply
    5,671.97x = 7,820.54 × 3,681.80
  4. Step 4: Simplify right side
    5,671.97x = 28,793,683.72
  5. Step 5: Solve for x
    x = 28,793,683.72/5,671.97
  6. Step 6: Final answer
    x = 5,076.49

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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.