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Finding the Fourth Proportional to 2,548.90, 3,821.29 and 904.54

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Solution

The fourth proportional to 2,548.90, 3,821.29 and 904.54 is: 1,356.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.90 : 3,821.29 = 904.54 : x
  2. Step 2: Convert to fraction form
    2,548.90/3,821.29 = 904.54/x
  3. Step 3: Cross multiply
    2,548.90x = 3,821.29 × 904.54
  4. Step 4: Simplify right side
    2,548.90x = 3,456,509.66
  5. Step 5: Solve for x
    x = 3,456,509.66/2,548.90
  6. Step 6: Final answer
    x = 1,356.08

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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.