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Finding the Fourth Proportional to 2,973.81, 4,460.73 and 1,219.77

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Solution

The fourth proportional to 2,973.81, 4,460.73 and 1,219.77 is: 1,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.81 : 4,460.73 = 1,219.77 : x
  2. Step 2: Convert to fraction form
    2,973.81/4,460.73 = 1,219.77/x
  3. Step 3: Cross multiply
    2,973.81x = 4,460.73 × 1,219.77
  4. Step 4: Simplify right side
    2,973.81x = 5,441,064.63
  5. Step 5: Solve for x
    x = 5,441,064.63/2,973.81
  6. Step 6: Final answer
    x = 1,829.66

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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.