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Finding the Fourth Proportional to 7,795, 10,756.98 and 4,258.12

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Solution

The fourth proportional to 7,795, 10,756.98 and 4,258.12 is: 5,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,795 : 10,756.98 = 4,258.12 : x
  2. Step 2: Convert to fraction form
    7,795/10,756.98 = 4,258.12/x
  3. Step 3: Cross multiply
    7,795x = 10,756.98 × 4,258.12
  4. Step 4: Simplify right side
    7,795x = 45,804,511.68
  5. Step 5: Solve for x
    x = 45,804,511.68/7,795
  6. Step 6: Final answer
    x = 5,876.14

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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.