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Finding the Fourth Proportional to 9,666.76, 14,478.16 and 9,448.08

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Solution

The fourth proportional to 9,666.76, 14,478.16 and 9,448.08 is: 14,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.76 : 14,478.16 = 9,448.08 : x
  2. Step 2: Convert to fraction form
    9,666.76/14,478.16 = 9,448.08/x
  3. Step 3: Cross multiply
    9,666.76x = 14,478.16 × 9,448.08
  4. Step 4: Simplify right side
    9,666.76x = 136,790,813.93
  5. Step 5: Solve for x
    x = 136,790,813.93/9,666.76
  6. Step 6: Final answer
    x = 14,150.64

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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.