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Finding the Fourth Proportional to 11,398, 15,729.26 and 6,430

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Solution

The fourth proportional to 11,398, 15,729.26 and 6,430 is: 8,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398 : 15,729.26 = 6,430 : x
  2. Step 2: Convert to fraction form
    11,398/15,729.26 = 6,430/x
  3. Step 3: Cross multiply
    11,398x = 15,729.26 × 6,430
  4. Step 4: Simplify right side
    11,398x = 101,139,141.80
  5. Step 5: Solve for x
    x = 101,139,141.80/11,398
  6. Step 6: Final answer
    x = 8,873.41

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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.