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Finding the Fourth Proportional to 9,699.36, 14,549.40 and 2,774.40

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Solution

The fourth proportional to 9,699.36, 14,549.40 and 2,774.40 is: 4,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.36 : 14,549.40 = 2,774.40 : x
  2. Step 2: Convert to fraction form
    9,699.36/14,549.40 = 2,774.40/x
  3. Step 3: Cross multiply
    9,699.36x = 14,549.40 × 2,774.40
  4. Step 4: Simplify right side
    9,699.36x = 40,365,855.36
  5. Step 5: Solve for x
    x = 40,365,855.36/9,699.36
  6. Step 6: Final answer
    x = 4,161.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.