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Finding the Fourth Proportional to 3,214.50, 4,821.76 and 782.50

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Solution

The fourth proportional to 3,214.50, 4,821.76 and 782.50 is: 1,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.50 : 4,821.76 = 782.50 : x
  2. Step 2: Convert to fraction form
    3,214.50/4,821.76 = 782.50/x
  3. Step 3: Cross multiply
    3,214.50x = 4,821.76 × 782.50
  4. Step 4: Simplify right side
    3,214.50x = 3,773,027.20
  5. Step 5: Solve for x
    x = 3,773,027.20/3,214.50
  6. Step 6: Final answer
    x = 1,173.75

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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.