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Finding the Fourth Proportional to 9,676.40, 13,356.19 and 5,699.80

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Solution

The fourth proportional to 9,676.40, 13,356.19 and 5,699.80 is: 7,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.40 : 13,356.19 = 5,699.80 : x
  2. Step 2: Convert to fraction form
    9,676.40/13,356.19 = 5,699.80/x
  3. Step 3: Cross multiply
    9,676.40x = 13,356.19 × 5,699.80
  4. Step 4: Simplify right side
    9,676.40x = 76,127,611.76
  5. Step 5: Solve for x
    x = 76,127,611.76/9,676.40
  6. Step 6: Final answer
    x = 7,867.35

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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.