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Finding the Fourth Proportional to 9,615.36, 14,436.32 and 6,646.49

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Solution

The fourth proportional to 9,615.36, 14,436.32 and 6,646.49 is: 9,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.36 : 14,436.32 = 6,646.49 : x
  2. Step 2: Convert to fraction form
    9,615.36/14,436.32 = 6,646.49/x
  3. Step 3: Cross multiply
    9,615.36x = 14,436.32 × 6,646.49
  4. Step 4: Simplify right side
    9,615.36x = 95,950,751.10
  5. Step 5: Solve for x
    x = 95,950,751.10/9,615.36
  6. Step 6: Final answer
    x = 9,978.90

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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.