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Finding the Fourth Proportional to 13,072.80, 19,580.40 and 7,869.60

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Solution

The fourth proportional to 13,072.80, 19,580.40 and 7,869.60 is: 11,787.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.80 : 19,580.40 = 7,869.60 : x
  2. Step 2: Convert to fraction form
    13,072.80/19,580.40 = 7,869.60/x
  3. Step 3: Cross multiply
    13,072.80x = 19,580.40 × 7,869.60
  4. Step 4: Simplify right side
    13,072.80x = 154,089,915.84
  5. Step 5: Solve for x
    x = 154,089,915.84/13,072.80
  6. Step 6: Final answer
    x = 11,787.06

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1.5x scale

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.