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Finding the Fourth Proportional to 13,957, 19,260.80 and 7,669.51

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Solution

The fourth proportional to 13,957, 19,260.80 and 7,669.51 is: 10,584.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957 : 19,260.80 = 7,669.51 : x
  2. Step 2: Convert to fraction form
    13,957/19,260.80 = 7,669.51/x
  3. Step 3: Cross multiply
    13,957x = 19,260.80 × 7,669.51
  4. Step 4: Simplify right side
    13,957x = 147,720,898.21
  5. Step 5: Solve for x
    x = 147,720,898.21/13,957
  6. Step 6: Final answer
    x = 10,584.00

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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.