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Finding the Fourth Proportional to 3,973.78, 5,964.23 and 2,920.92

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Solution

The fourth proportional to 3,973.78, 5,964.23 and 2,920.92 is: 4,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.78 : 5,964.23 = 2,920.92 : x
  2. Step 2: Convert to fraction form
    3,973.78/5,964.23 = 2,920.92/x
  3. Step 3: Cross multiply
    3,973.78x = 5,964.23 × 2,920.92
  4. Step 4: Simplify right side
    3,973.78x = 17,421,038.69
  5. Step 5: Solve for x
    x = 17,421,038.69/3,973.78
  6. Step 6: Final answer
    x = 4,384.00

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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.