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Finding the Fourth Proportional to 2,606.70, 3,907.32 and 962.20

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Solution

The fourth proportional to 2,606.70, 3,907.32 and 962.20 is: 1,442.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.70 : 3,907.32 = 962.20 : x
  2. Step 2: Convert to fraction form
    2,606.70/3,907.32 = 962.20/x
  3. Step 3: Cross multiply
    2,606.70x = 3,907.32 × 962.20
  4. Step 4: Simplify right side
    2,606.70x = 3,759,623.30
  5. Step 5: Solve for x
    x = 3,759,623.30/2,606.70
  6. Step 6: Final answer
    x = 1,442.29

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1.5x scale

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.