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Finding the Fourth Proportional to 5,661.66, 7,817.40 and 3,897.48

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Solution

The fourth proportional to 5,661.66, 7,817.40 and 3,897.48 is: 5,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.66 : 7,817.40 = 3,897.48 : x
  2. Step 2: Convert to fraction form
    5,661.66/7,817.40 = 3,897.48/x
  3. Step 3: Cross multiply
    5,661.66x = 7,817.40 × 3,897.48
  4. Step 4: Simplify right side
    5,661.66x = 30,468,160.15
  5. Step 5: Solve for x
    x = 30,468,160.15/5,661.66
  6. Step 6: Final answer
    x = 5,381.49

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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.