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Finding the Fourth Proportional to 9,675.40, 13,354.81 and 5,698.80

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Solution

The fourth proportional to 9,675.40, 13,354.81 and 5,698.80 is: 7,865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.40 : 13,354.81 = 5,698.80 : x
  2. Step 2: Convert to fraction form
    9,675.40/13,354.81 = 5,698.80/x
  3. Step 3: Cross multiply
    9,675.40x = 13,354.81 × 5,698.80
  4. Step 4: Simplify right side
    9,675.40x = 76,106,362.73
  5. Step 5: Solve for x
    x = 76,106,362.73/9,675.40
  6. Step 6: Final answer
    x = 7,865.97

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