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Finding the Fourth Proportional to 6,488.28, 8,954.28 and 3,693.78

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Solution

The fourth proportional to 6,488.28, 8,954.28 and 3,693.78 is: 5,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.28 : 8,954.28 = 3,693.78 : x
  2. Step 2: Convert to fraction form
    6,488.28/8,954.28 = 3,693.78/x
  3. Step 3: Cross multiply
    6,488.28x = 8,954.28 × 3,693.78
  4. Step 4: Simplify right side
    6,488.28x = 33,075,140.38
  5. Step 5: Solve for x
    x = 33,075,140.38/6,488.28
  6. Step 6: Final answer
    x = 5,097.67

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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.