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Finding the Fourth Proportional to 13,953.50, 19,255.96 and 7,666.02

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Solution

The fourth proportional to 13,953.50, 19,255.96 and 7,666.02 is: 10,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.50 : 19,255.96 = 7,666.02 : x
  2. Step 2: Convert to fraction form
    13,953.50/19,255.96 = 7,666.02/x
  3. Step 3: Cross multiply
    13,953.50x = 19,255.96 × 7,666.02
  4. Step 4: Simplify right side
    13,953.50x = 147,616,574.48
  5. Step 5: Solve for x
    x = 147,616,574.48/13,953.50
  6. Step 6: Final answer
    x = 10,579.18

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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.