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Finding the Fourth Proportional to 3,966.52, 5,473 and 2,287.40

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Solution

The fourth proportional to 3,966.52, 5,473 and 2,287.40 is: 3,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.52 : 5,473 = 2,287.40 : x
  2. Step 2: Convert to fraction form
    3,966.52/5,473 = 2,287.40/x
  3. Step 3: Cross multiply
    3,966.52x = 5,473 × 2,287.40
  4. Step 4: Simplify right side
    3,966.52x = 12,518,940.20
  5. Step 5: Solve for x
    x = 12,518,940.20/3,966.52
  6. Step 6: Final answer
    x = 3,156.15

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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.