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Finding the Fourth Proportional to 13,696.80, 18,901.48 and 7,409.16

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Solution

The fourth proportional to 13,696.80, 18,901.48 and 7,409.16 is: 10,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.80 : 18,901.48 = 7,409.16 : x
  2. Step 2: Convert to fraction form
    13,696.80/18,901.48 = 7,409.16/x
  3. Step 3: Cross multiply
    13,696.80x = 18,901.48 × 7,409.16
  4. Step 4: Simplify right side
    13,696.80x = 140,044,089.56
  5. Step 5: Solve for x
    x = 140,044,089.56/13,696.80
  6. Step 6: Final answer
    x = 10,224.58

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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.