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Finding the Fourth Proportional to 13,459, 18,573.46 and 7,571

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Solution

The fourth proportional to 13,459, 18,573.46 and 7,571 is: 10,448.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459 : 18,573.46 = 7,571 : x
  2. Step 2: Convert to fraction form
    13,459/18,573.46 = 7,571/x
  3. Step 3: Cross multiply
    13,459x = 18,573.46 × 7,571
  4. Step 4: Simplify right side
    13,459x = 140,619,665.66
  5. Step 5: Solve for x
    x = 140,619,665.66/13,459
  6. Step 6: Final answer
    x = 10,448.00

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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.