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Finding the Fourth Proportional to 13,819.73, 19,071.73 and 7,852.40

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Solution

The fourth proportional to 13,819.73, 19,071.73 and 7,852.40 is: 10,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.73 : 19,071.73 = 7,852.40 : x
  2. Step 2: Convert to fraction form
    13,819.73/19,071.73 = 7,852.40/x
  3. Step 3: Cross multiply
    13,819.73x = 19,071.73 × 7,852.40
  4. Step 4: Simplify right side
    13,819.73x = 149,758,880.70
  5. Step 5: Solve for x
    x = 149,758,880.70/13,819.73
  6. Step 6: Final answer
    x = 10,836.60

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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.