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Finding the Fourth Proportional to 13,293.61, 19,901.79 and 7,729.99

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Solution

The fourth proportional to 13,293.61, 19,901.79 and 7,729.99 is: 11,572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,293.61 : 19,901.79 = 7,729.99 : x
  2. Step 2: Convert to fraction form
    13,293.61/19,901.79 = 7,729.99/x
  3. Step 3: Cross multiply
    13,293.61x = 19,901.79 × 7,729.99
  4. Step 4: Simplify right side
    13,293.61x = 153,840,637.68
  5. Step 5: Solve for x
    x = 153,840,637.68/13,293.61
  6. Step 6: Final answer
    x = 11,572.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.