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Finding the Fourth Proportional to 7,758, 10,707.12 and 4,969.44

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Solution

The fourth proportional to 7,758, 10,707.12 and 4,969.44 is: 6,858.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758 : 10,707.12 = 4,969.44 : x
  2. Step 2: Convert to fraction form
    7,758/10,707.12 = 4,969.44/x
  3. Step 3: Cross multiply
    7,758x = 10,707.12 × 4,969.44
  4. Step 4: Simplify right side
    7,758x = 53,208,390.41
  5. Step 5: Solve for x
    x = 53,208,390.41/7,758
  6. Step 6: Final answer
    x = 6,858.52

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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.