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Finding the Fourth Proportional to 14,078, 19,427.78 and 7,790.51

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Solution

The fourth proportional to 14,078, 19,427.78 and 7,790.51 is: 10,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078 : 19,427.78 = 7,790.51 : x
  2. Step 2: Convert to fraction form
    14,078/19,427.78 = 7,790.51/x
  3. Step 3: Cross multiply
    14,078x = 19,427.78 × 7,790.51
  4. Step 4: Simplify right side
    14,078x = 151,352,314.37
  5. Step 5: Solve for x
    x = 151,352,314.37/14,078
  6. Step 6: Final answer
    x = 10,750.98

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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.