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Finding the Fourth Proportional to 2,784.24, 3,840.48 and 1,775.52

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Solution

The fourth proportional to 2,784.24, 3,840.48 and 1,775.52 is: 2,449.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.24 : 3,840.48 = 1,775.52 : x
  2. Step 2: Convert to fraction form
    2,784.24/3,840.48 = 1,775.52/x
  3. Step 3: Cross multiply
    2,784.24x = 3,840.48 × 1,775.52
  4. Step 4: Simplify right side
    2,784.24x = 6,818,849.05
  5. Step 5: Solve for x
    x = 6,818,849.05/2,784.24
  6. Step 6: Final answer
    x = 2,449.09

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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.