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Finding the Fourth Proportional to 14,464.24, 19,960.44 and 7,840.24

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Solution

The fourth proportional to 14,464.24, 19,960.44 and 7,840.24 is: 10,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.24 : 19,960.44 = 7,840.24 : x
  2. Step 2: Convert to fraction form
    14,464.24/19,960.44 = 7,840.24/x
  3. Step 3: Cross multiply
    14,464.24x = 19,960.44 × 7,840.24
  4. Step 4: Simplify right side
    14,464.24x = 156,494,640.11
  5. Step 5: Solve for x
    x = 156,494,640.11/14,464.24
  6. Step 6: Final answer
    x = 10,819.42

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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.