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Finding the Fourth Proportional to 9,643.04, 14,464.68 and 3,069.20

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Solution

The fourth proportional to 9,643.04, 14,464.68 and 3,069.20 is: 4,603.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.04 : 14,464.68 = 3,069.20 : x
  2. Step 2: Convert to fraction form
    9,643.04/14,464.68 = 3,069.20/x
  3. Step 3: Cross multiply
    9,643.04x = 14,464.68 × 3,069.20
  4. Step 4: Simplify right side
    9,643.04x = 44,394,995.86
  5. Step 5: Solve for x
    x = 44,394,995.86/9,643.04
  6. Step 6: Final answer
    x = 4,603.84

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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.