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Finding the Fourth Proportional to 12,959.98, 17,893.38 and 9,970.54

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Solution

The fourth proportional to 12,959.98, 17,893.38 and 9,970.54 is: 13,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.98 : 17,893.38 = 9,970.54 : x
  2. Step 2: Convert to fraction form
    12,959.98/17,893.38 = 9,970.54/x
  3. Step 3: Cross multiply
    12,959.98x = 17,893.38 × 9,970.54
  4. Step 4: Simplify right side
    12,959.98x = 178,406,661.03
  5. Step 5: Solve for x
    x = 178,406,661.03/12,959.98
  6. Step 6: Final answer
    x = 13,765.97

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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.