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Finding the Fourth Proportional to 13,021.97, 17,970.31 and 7,356.72

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Solution

The fourth proportional to 13,021.97, 17,970.31 and 7,356.72 is: 10,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.97 : 17,970.31 = 7,356.72 : x
  2. Step 2: Convert to fraction form
    13,021.97/17,970.31 = 7,356.72/x
  3. Step 3: Cross multiply
    13,021.97x = 17,970.31 × 7,356.72
  4. Step 4: Simplify right side
    13,021.97x = 132,202,615.57
  5. Step 5: Solve for x
    x = 132,202,615.57/13,021.97
  6. Step 6: Final answer
    x = 10,152.28

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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.