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Finding the Fourth Proportional to 13,694.76, 18,897.17 and 7,726.07

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Solution

The fourth proportional to 13,694.76, 18,897.17 and 7,726.07 is: 10,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.76 : 18,897.17 = 7,726.07 : x
  2. Step 2: Convert to fraction form
    13,694.76/18,897.17 = 7,726.07/x
  3. Step 3: Cross multiply
    13,694.76x = 18,897.17 × 7,726.07
  4. Step 4: Simplify right side
    13,694.76x = 146,000,866.83
  5. Step 5: Solve for x
    x = 146,000,866.83/13,694.76
  6. Step 6: Final answer
    x = 10,661.08

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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.