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Finding the Fourth Proportional to 9,290.80, 13,935.66 and 7,827.40

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Solution

The fourth proportional to 9,290.80, 13,935.66 and 7,827.40 is: 11,740.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.80 : 13,935.66 = 7,827.40 : x
  2. Step 2: Convert to fraction form
    9,290.80/13,935.66 = 7,827.40/x
  3. Step 3: Cross multiply
    9,290.80x = 13,935.66 × 7,827.40
  4. Step 4: Simplify right side
    9,290.80x = 109,079,985.08
  5. Step 5: Solve for x
    x = 109,079,985.08/9,290.80
  6. Step 6: Final answer
    x = 11,740.65

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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.