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Finding the Fourth Proportional to 13,029.56, 17,980.48 and 7,364.28

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Solution

The fourth proportional to 13,029.56, 17,980.48 and 7,364.28 is: 10,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.56 : 17,980.48 = 7,364.28 : x
  2. Step 2: Convert to fraction form
    13,029.56/17,980.48 = 7,364.28/x
  3. Step 3: Cross multiply
    13,029.56x = 17,980.48 × 7,364.28
  4. Step 4: Simplify right side
    13,029.56x = 132,413,365.89
  5. Step 5: Solve for x
    x = 132,413,365.89/13,029.56
  6. Step 6: Final answer
    x = 10,162.54

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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.