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Finding the Fourth Proportional to 13,954, 19,256.66 and 7,666.51

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Solution

The fourth proportional to 13,954, 19,256.66 and 7,666.51 is: 10,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954 : 19,256.66 = 7,666.51 : x
  2. Step 2: Convert to fraction form
    13,954/19,256.66 = 7,666.51/x
  3. Step 3: Cross multiply
    13,954x = 19,256.66 × 7,666.51
  4. Step 4: Simplify right side
    13,954x = 147,631,376.46
  5. Step 5: Solve for x
    x = 147,631,376.46/13,954
  6. Step 6: Final answer
    x = 10,579.86

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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.