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Finding the Fourth Proportional to 9,642.38, 14,463.98 and 3,069.04

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Solution

The fourth proportional to 9,642.38, 14,463.98 and 3,069.04 is: 4,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.38 : 14,463.98 = 3,069.04 : x
  2. Step 2: Convert to fraction form
    9,642.38/14,463.98 = 3,069.04/x
  3. Step 3: Cross multiply
    9,642.38x = 14,463.98 × 3,069.04
  4. Step 4: Simplify right side
    9,642.38x = 44,390,533.18
  5. Step 5: Solve for x
    x = 44,390,533.18/9,642.38
  6. Step 6: Final answer
    x = 4,603.69

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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.