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Finding the Fourth Proportional to 2,261.76, 3,122.76 and 1,477.20

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Solution

The fourth proportional to 2,261.76, 3,122.76 and 1,477.20 is: 2,039.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261.76 : 3,122.76 = 1,477.20 : x
  2. Step 2: Convert to fraction form
    2,261.76/3,122.76 = 1,477.20/x
  3. Step 3: Cross multiply
    2,261.76x = 3,122.76 × 1,477.20
  4. Step 4: Simplify right side
    2,261.76x = 4,612,941.07
  5. Step 5: Solve for x
    x = 4,612,941.07/2,261.76
  6. Step 6: Final answer
    x = 2,039.54

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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.