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Finding the Fourth Proportional to 14,231.44, 19,640.05 and 7,858.93

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Solution

The fourth proportional to 14,231.44, 19,640.05 and 7,858.93 is: 10,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.44 : 19,640.05 = 7,858.93 : x
  2. Step 2: Convert to fraction form
    14,231.44/19,640.05 = 7,858.93/x
  3. Step 3: Cross multiply
    14,231.44x = 19,640.05 × 7,858.93
  4. Step 4: Simplify right side
    14,231.44x = 154,349,807.60
  5. Step 5: Solve for x
    x = 154,349,807.60/14,231.44
  6. Step 6: Final answer
    x = 10,845.69

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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.