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Finding the Fourth Proportional to 19,028.12, 26,257.38 and 10,643

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Solution

The fourth proportional to 19,028.12, 26,257.38 and 10,643 is: 14,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,028.12 : 26,257.38 = 10,643 : x
  2. Step 2: Convert to fraction form
    19,028.12/26,257.38 = 10,643/x
  3. Step 3: Cross multiply
    19,028.12x = 26,257.38 × 10,643
  4. Step 4: Simplify right side
    19,028.12x = 279,457,295.34
  5. Step 5: Solve for x
    x = 279,457,295.34/19,028.12
  6. Step 6: Final answer
    x = 14,686.54

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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.