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Finding the Fourth Proportional to 14,284.20, 19,712.10 and 7,996.20

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Solution

The fourth proportional to 14,284.20, 19,712.10 and 7,996.20 is: 11,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.20 : 19,712.10 = 7,996.20 : x
  2. Step 2: Convert to fraction form
    14,284.20/19,712.10 = 7,996.20/x
  3. Step 3: Cross multiply
    14,284.20x = 19,712.10 × 7,996.20
  4. Step 4: Simplify right side
    14,284.20x = 157,621,894.02
  5. Step 5: Solve for x
    x = 157,621,894.02/14,284.20
  6. Step 6: Final answer
    x = 11,034.70

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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.