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Finding the Fourth Proportional to 3,605.76, 4,978.40 and 2,261.93

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Solution

The fourth proportional to 3,605.76, 4,978.40 and 2,261.93 is: 3,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.76 : 4,978.40 = 2,261.93 : x
  2. Step 2: Convert to fraction form
    3,605.76/4,978.40 = 2,261.93/x
  3. Step 3: Cross multiply
    3,605.76x = 4,978.40 × 2,261.93
  4. Step 4: Simplify right side
    3,605.76x = 11,260,756.11
  5. Step 5: Solve for x
    x = 11,260,756.11/3,605.76
  6. Step 6: Final answer
    x = 3,122.99

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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.