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Finding the Fourth Proportional to 2,904.81, 4,008.54 and 1,578.49

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Solution

The fourth proportional to 2,904.81, 4,008.54 and 1,578.49 is: 2,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.81 : 4,008.54 = 1,578.49 : x
  2. Step 2: Convert to fraction form
    2,904.81/4,008.54 = 1,578.49/x
  3. Step 3: Cross multiply
    2,904.81x = 4,008.54 × 1,578.49
  4. Step 4: Simplify right side
    2,904.81x = 6,327,427.32
  5. Step 5: Solve for x
    x = 6,327,427.32/2,904.81
  6. Step 6: Final answer
    x = 2,178.26

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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.