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Finding the Fourth Proportional to 9,740, 13,466.80 and 9,304.80

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Solution

The fourth proportional to 9,740, 13,466.80 and 9,304.80 is: 12,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740 : 13,466.80 = 9,304.80 : x
  2. Step 2: Convert to fraction form
    9,740/13,466.80 = 9,304.80/x
  3. Step 3: Cross multiply
    9,740x = 13,466.80 × 9,304.80
  4. Step 4: Simplify right side
    9,740x = 125,305,880.64
  5. Step 5: Solve for x
    x = 125,305,880.64/9,740
  6. Step 6: Final answer
    x = 12,865.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.