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Finding the Fourth Proportional to 4,663.60, 7,000.80 and 2,690.80

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Solution

The fourth proportional to 4,663.60, 7,000.80 and 2,690.80 is: 4,039.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.60 : 7,000.80 = 2,690.80 : x
  2. Step 2: Convert to fraction form
    4,663.60/7,000.80 = 2,690.80/x
  3. Step 3: Cross multiply
    4,663.60x = 7,000.80 × 2,690.80
  4. Step 4: Simplify right side
    4,663.60x = 18,837,752.64
  5. Step 5: Solve for x
    x = 18,837,752.64/4,663.60
  6. Step 6: Final answer
    x = 4,039.32

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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.