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Finding the Fourth Proportional to 2,571.52, 3,852.24 and 1,992.64

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Solution

The fourth proportional to 2,571.52, 3,852.24 and 1,992.64 is: 2,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.52 : 3,852.24 = 1,992.64 : x
  2. Step 2: Convert to fraction form
    2,571.52/3,852.24 = 1,992.64/x
  3. Step 3: Cross multiply
    2,571.52x = 3,852.24 × 1,992.64
  4. Step 4: Simplify right side
    2,571.52x = 7,676,127.51
  5. Step 5: Solve for x
    x = 7,676,127.51/2,571.52
  6. Step 6: Final answer
    x = 2,985.05

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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.