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Finding the Fourth Proportional to 14,443.14, 19,931.58 and 7,819.14

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Solution

The fourth proportional to 14,443.14, 19,931.58 and 7,819.14 is: 10,790.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.14 : 19,931.58 = 7,819.14 : x
  2. Step 2: Convert to fraction form
    14,443.14/19,931.58 = 7,819.14/x
  3. Step 3: Cross multiply
    14,443.14x = 19,931.58 × 7,819.14
  4. Step 4: Simplify right side
    14,443.14x = 155,847,814.44
  5. Step 5: Solve for x
    x = 155,847,814.44/14,443.14
  6. Step 6: Final answer
    x = 10,790.44

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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.