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Finding the Fourth Proportional to 2,782.79, 3,840.10 and 1,523.60

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Solution

The fourth proportional to 2,782.79, 3,840.10 and 1,523.60 is: 2,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.79 : 3,840.10 = 1,523.60 : x
  2. Step 2: Convert to fraction form
    2,782.79/3,840.10 = 1,523.60/x
  3. Step 3: Cross multiply
    2,782.79x = 3,840.10 × 1,523.60
  4. Step 4: Simplify right side
    2,782.79x = 5,850,776.36
  5. Step 5: Solve for x
    x = 5,850,776.36/2,782.79
  6. Step 6: Final answer
    x = 2,102.49

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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.