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Finding the Fourth Proportional to 2,970.62, 4,454.43 and 1,738.40

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Solution

The fourth proportional to 2,970.62, 4,454.43 and 1,738.40 is: 2,606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.62 : 4,454.43 = 1,738.40 : x
  2. Step 2: Convert to fraction form
    2,970.62/4,454.43 = 1,738.40/x
  3. Step 3: Cross multiply
    2,970.62x = 4,454.43 × 1,738.40
  4. Step 4: Simplify right side
    2,970.62x = 7,743,581.11
  5. Step 5: Solve for x
    x = 7,743,581.11/2,970.62
  6. Step 6: Final answer
    x = 2,606.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.