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Finding the Fourth Proportional to 2,904.93, 4,008.75 and 1,578.64

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Solution

The fourth proportional to 2,904.93, 4,008.75 and 1,578.64 is: 2,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.93 : 4,008.75 = 1,578.64 : x
  2. Step 2: Convert to fraction form
    2,904.93/4,008.75 = 1,578.64/x
  3. Step 3: Cross multiply
    2,904.93x = 4,008.75 × 1,578.64
  4. Step 4: Simplify right side
    2,904.93x = 6,328,354.12
  5. Step 5: Solve for x
    x = 6,328,354.12/2,904.93
  6. Step 6: Final answer
    x = 2,178.49

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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.