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Finding the Fourth Proportional to 3,966.40, 5,476.31 and 3,545.40

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Solution

The fourth proportional to 3,966.40, 5,476.31 and 3,545.40 is: 4,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.40 : 5,476.31 = 3,545.40 : x
  2. Step 2: Convert to fraction form
    3,966.40/5,476.31 = 3,545.40/x
  3. Step 3: Cross multiply
    3,966.40x = 5,476.31 × 3,545.40
  4. Step 4: Simplify right side
    3,966.40x = 19,415,709.47
  5. Step 5: Solve for x
    x = 19,415,709.47/3,966.40
  6. Step 6: Final answer
    x = 4,895.05

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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.