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Finding the Fourth Proportional to 3,461.56, 4,777.50 and 1,969.56

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Solution

The fourth proportional to 3,461.56, 4,777.50 and 1,969.56 is: 2,718.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.56 : 4,777.50 = 1,969.56 : x
  2. Step 2: Convert to fraction form
    3,461.56/4,777.50 = 1,969.56/x
  3. Step 3: Cross multiply
    3,461.56x = 4,777.50 × 1,969.56
  4. Step 4: Simplify right side
    3,461.56x = 9,409,572.90
  5. Step 5: Solve for x
    x = 9,409,572.90/3,461.56
  6. Step 6: Final answer
    x = 2,718.30

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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.