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Finding the Fourth Proportional to 13,696.25, 18,900.16 and 8,030.24

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Solution

The fourth proportional to 13,696.25, 18,900.16 and 8,030.24 is: 11,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.25 : 18,900.16 = 8,030.24 : x
  2. Step 2: Convert to fraction form
    13,696.25/18,900.16 = 8,030.24/x
  3. Step 3: Cross multiply
    13,696.25x = 18,900.16 × 8,030.24
  4. Step 4: Simplify right side
    13,696.25x = 151,772,820.84
  5. Step 5: Solve for x
    x = 151,772,820.84/13,696.25
  6. Step 6: Final answer
    x = 11,081.34

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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.