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Finding the Fourth Proportional to 1,772.00, 2,652.53 and 1,620.80

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Solution

The fourth proportional to 1,772.00, 2,652.53 and 1,620.80 is: 2,426.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.00 : 2,652.53 = 1,620.80 : x
  2. Step 2: Convert to fraction form
    1,772.00/2,652.53 = 1,620.80/x
  3. Step 3: Cross multiply
    1,772.00x = 2,652.53 × 1,620.80
  4. Step 4: Simplify right side
    1,772.00x = 4,299,199.26
  5. Step 5: Solve for x
    x = 4,299,199.26/1,772.00
  6. Step 6: Final answer
    x = 2,426.19

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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.