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Finding the Fourth Proportional to 14,107.76, 19,467.40 and 7,819.60

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Solution

The fourth proportional to 14,107.76, 19,467.40 and 7,819.60 is: 10,790.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.76 : 19,467.40 = 7,819.60 : x
  2. Step 2: Convert to fraction form
    14,107.76/19,467.40 = 7,819.60/x
  3. Step 3: Cross multiply
    14,107.76x = 19,467.40 × 7,819.60
  4. Step 4: Simplify right side
    14,107.76x = 152,227,281.04
  5. Step 5: Solve for x
    x = 152,227,281.04/14,107.76
  6. Step 6: Final answer
    x = 10,790.32

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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.