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Finding the Fourth Proportional to 4,668.60, 7,000.80 and 1,380.56

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Solution

The fourth proportional to 4,668.60, 7,000.80 and 1,380.56 is: 2,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.60 : 7,000.80 = 1,380.56 : x
  2. Step 2: Convert to fraction form
    4,668.60/7,000.80 = 1,380.56/x
  3. Step 3: Cross multiply
    4,668.60x = 7,000.80 × 1,380.56
  4. Step 4: Simplify right side
    4,668.60x = 9,665,024.45
  5. Step 5: Solve for x
    x = 9,665,024.45/4,668.60
  6. Step 6: Final answer
    x = 2,070.22

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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.