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Finding the Fourth Proportional to 12,415.48, 17,130.60 and 7,381.38

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Solution

The fourth proportional to 12,415.48, 17,130.60 and 7,381.38 is: 10,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.48 : 17,130.60 = 7,381.38 : x
  2. Step 2: Convert to fraction form
    12,415.48/17,130.60 = 7,381.38/x
  3. Step 3: Cross multiply
    12,415.48x = 17,130.60 × 7,381.38
  4. Step 4: Simplify right side
    12,415.48x = 126,447,468.23
  5. Step 5: Solve for x
    x = 126,447,468.23/12,415.48
  6. Step 6: Final answer
    x = 10,184.66

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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.