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Finding the Fourth Proportional to 2,605.65, 3,907.85 and 962.39

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Solution

The fourth proportional to 2,605.65, 3,907.85 and 962.39 is: 1,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.65 : 3,907.85 = 962.39 : x
  2. Step 2: Convert to fraction form
    2,605.65/3,907.85 = 962.39/x
  3. Step 3: Cross multiply
    2,605.65x = 3,907.85 × 962.39
  4. Step 4: Simplify right side
    2,605.65x = 3,760,851.41
  5. Step 5: Solve for x
    x = 3,760,851.41/2,605.65
  6. Step 6: Final answer
    x = 1,443.34

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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.