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Finding the Fourth Proportional to 2,973.75, 4,460.90 and 782.49

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Solution

The fourth proportional to 2,973.75, 4,460.90 and 782.49 is: 1,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.75 : 4,460.90 = 782.49 : x
  2. Step 2: Convert to fraction form
    2,973.75/4,460.90 = 782.49/x
  3. Step 3: Cross multiply
    2,973.75x = 4,460.90 × 782.49
  4. Step 4: Simplify right side
    2,973.75x = 3,490,609.64
  5. Step 5: Solve for x
    x = 3,490,609.64/2,973.75
  6. Step 6: Final answer
    x = 1,173.81

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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.