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Finding the Fourth Proportional to 5,629.60, 7,771.04 and 5,039.11

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Solution

The fourth proportional to 5,629.60, 7,771.04 and 5,039.11 is: 6,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.60 : 7,771.04 = 5,039.11 : x
  2. Step 2: Convert to fraction form
    5,629.60/7,771.04 = 5,039.11/x
  3. Step 3: Cross multiply
    5,629.60x = 7,771.04 × 5,039.11
  4. Step 4: Simplify right side
    5,629.60x = 39,159,125.37
  5. Step 5: Solve for x
    x = 39,159,125.37/5,629.60
  6. Step 6: Final answer
    x = 6,955.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.