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Finding the Fourth Proportional to 14,228.08, 19,635 and 7,940.32

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Solution

The fourth proportional to 14,228.08, 19,635 and 7,940.32 is: 10,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.08 : 19,635 = 7,940.32 : x
  2. Step 2: Convert to fraction form
    14,228.08/19,635 = 7,940.32/x
  3. Step 3: Cross multiply
    14,228.08x = 19,635 × 7,940.32
  4. Step 4: Simplify right side
    14,228.08x = 155,908,183.20
  5. Step 5: Solve for x
    x = 155,908,183.20/14,228.08
  6. Step 6: Final answer
    x = 10,957.78

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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.