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Finding the Fourth Proportional to 3,784.80, 5,675.76 and 1,593.12

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Solution

The fourth proportional to 3,784.80, 5,675.76 and 1,593.12 is: 2,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.80 : 5,675.76 = 1,593.12 : x
  2. Step 2: Convert to fraction form
    3,784.80/5,675.76 = 1,593.12/x
  3. Step 3: Cross multiply
    3,784.80x = 5,675.76 × 1,593.12
  4. Step 4: Simplify right side
    3,784.80x = 9,042,166.77
  5. Step 5: Solve for x
    x = 9,042,166.77/3,784.80
  6. Step 6: Final answer
    x = 2,389.07

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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.