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Finding the Fourth Proportional to 14,077, 19,426.40 and 7,789.51

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Solution

The fourth proportional to 14,077, 19,426.40 and 7,789.51 is: 10,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077 : 19,426.40 = 7,789.51 : x
  2. Step 2: Convert to fraction form
    14,077/19,426.40 = 7,789.51/x
  3. Step 3: Cross multiply
    14,077x = 19,426.40 × 7,789.51
  4. Step 4: Simplify right side
    14,077x = 151,322,137.06
  5. Step 5: Solve for x
    x = 151,322,137.06/14,077
  6. Step 6: Final answer
    x = 10,749.60

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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.