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Finding the Fourth Proportional to 13,431, 18,534.84 and 7,842

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Solution

The fourth proportional to 13,431, 18,534.84 and 7,842 is: 10,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431 : 18,534.84 = 7,842 : x
  2. Step 2: Convert to fraction form
    13,431/18,534.84 = 7,842/x
  3. Step 3: Cross multiply
    13,431x = 18,534.84 × 7,842
  4. Step 4: Simplify right side
    13,431x = 145,350,215.28
  5. Step 5: Solve for x
    x = 145,350,215.28/13,431
  6. Step 6: Final answer
    x = 10,822.00

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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.