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Finding the Fourth Proportional to 4,971.60, 7,455.60 and 2,008.80

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Solution

The fourth proportional to 4,971.60, 7,455.60 and 2,008.80 is: 3,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.60 : 7,455.60 = 2,008.80 : x
  2. Step 2: Convert to fraction form
    4,971.60/7,455.60 = 2,008.80/x
  3. Step 3: Cross multiply
    4,971.60x = 7,455.60 × 2,008.80
  4. Step 4: Simplify right side
    4,971.60x = 14,976,809.28
  5. Step 5: Solve for x
    x = 14,976,809.28/4,971.60
  6. Step 6: Final answer
    x = 3,012.47

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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.