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Finding the Fourth Proportional to 9,290.64, 13,935.90 and 2,270.68

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Solution

The fourth proportional to 9,290.64, 13,935.90 and 2,270.68 is: 3,406.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.64 : 13,935.90 = 2,270.68 : x
  2. Step 2: Convert to fraction form
    9,290.64/13,935.90 = 2,270.68/x
  3. Step 3: Cross multiply
    9,290.64x = 13,935.90 × 2,270.68
  4. Step 4: Simplify right side
    9,290.64x = 31,643,969.41
  5. Step 5: Solve for x
    x = 31,643,969.41/9,290.64
  6. Step 6: Final answer
    x = 3,406.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.