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Finding the Fourth Proportional to 12,993.14, 17,916.42 and 8,271.38

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Solution

The fourth proportional to 12,993.14, 17,916.42 and 8,271.38 is: 11,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.14 : 17,916.42 = 8,271.38 : x
  2. Step 2: Convert to fraction form
    12,993.14/17,916.42 = 8,271.38/x
  3. Step 3: Cross multiply
    12,993.14x = 17,916.42 × 8,271.38
  4. Step 4: Simplify right side
    12,993.14x = 148,193,518.06
  5. Step 5: Solve for x
    x = 148,193,518.06/12,993.14
  6. Step 6: Final answer
    x = 11,405.52

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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.