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Finding the Fourth Proportional to 9,602.14, 14,402.80 and 3,033.04

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Solution

The fourth proportional to 9,602.14, 14,402.80 and 3,033.04 is: 4,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.14 : 14,402.80 = 3,033.04 : x
  2. Step 2: Convert to fraction form
    9,602.14/14,402.80 = 3,033.04/x
  3. Step 3: Cross multiply
    9,602.14x = 14,402.80 × 3,033.04
  4. Step 4: Simplify right side
    9,602.14x = 43,684,268.51
  5. Step 5: Solve for x
    x = 43,684,268.51/9,602.14
  6. Step 6: Final answer
    x = 4,549.43

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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.