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Finding the Fourth Proportional to 3,966.66, 5,915.07 and 3,689.64

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Solution

The fourth proportional to 3,966.66, 5,915.07 and 3,689.64 is: 5,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.66 : 5,915.07 = 3,689.64 : x
  2. Step 2: Convert to fraction form
    3,966.66/5,915.07 = 3,689.64/x
  3. Step 3: Cross multiply
    3,966.66x = 5,915.07 × 3,689.64
  4. Step 4: Simplify right side
    3,966.66x = 21,824,478.87
  5. Step 5: Solve for x
    x = 21,824,478.87/3,966.66
  6. Step 6: Final answer
    x = 5,501.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.