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Finding the Fourth Proportional to 13,038.95, 17,996.89 and 7,662.57

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Solution

The fourth proportional to 13,038.95, 17,996.89 and 7,662.57 is: 10,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.95 : 17,996.89 = 7,662.57 : x
  2. Step 2: Convert to fraction form
    13,038.95/17,996.89 = 7,662.57/x
  3. Step 3: Cross multiply
    13,038.95x = 17,996.89 × 7,662.57
  4. Step 4: Simplify right side
    13,038.95x = 137,902,429.41
  5. Step 5: Solve for x
    x = 137,902,429.41/13,038.95
  6. Step 6: Final answer
    x = 10,576.20

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1.5x scale

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.