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Finding the Fourth Proportional to 3,156, 4,355.68 and 2,274.72

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Solution

The fourth proportional to 3,156, 4,355.68 and 2,274.72 is: 3,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156 : 4,355.68 = 2,274.72 : x
  2. Step 2: Convert to fraction form
    3,156/4,355.68 = 2,274.72/x
  3. Step 3: Cross multiply
    3,156x = 4,355.68 × 2,274.72
  4. Step 4: Simplify right side
    3,156x = 9,907,952.41
  5. Step 5: Solve for x
    x = 9,907,952.41/3,156
  6. Step 6: Final answer
    x = 3,139.40

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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.