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Finding the Fourth Proportional to 11,897.80, 16,415.94 and 7,421.20

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Solution

The fourth proportional to 11,897.80, 16,415.94 and 7,421.20 is: 10,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.80 : 16,415.94 = 7,421.20 : x
  2. Step 2: Convert to fraction form
    11,897.80/16,415.94 = 7,421.20/x
  3. Step 3: Cross multiply
    11,897.80x = 16,415.94 × 7,421.20
  4. Step 4: Simplify right side
    11,897.80x = 121,825,973.93
  5. Step 5: Solve for x
    x = 121,825,973.93/11,897.80
  6. Step 6: Final answer
    x = 10,239.37

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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.