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Finding the Fourth Proportional to 13,154.37, 19,731.73 and 7,347.93

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Solution

The fourth proportional to 13,154.37, 19,731.73 and 7,347.93 is: 11,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.37 : 19,731.73 = 7,347.93 : x
  2. Step 2: Convert to fraction form
    13,154.37/19,731.73 = 7,347.93/x
  3. Step 3: Cross multiply
    13,154.37x = 19,731.73 × 7,347.93
  4. Step 4: Simplify right side
    13,154.37x = 144,987,370.82
  5. Step 5: Solve for x
    x = 144,987,370.82/13,154.37
  6. Step 6: Final answer
    x = 11,021.99

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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.