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Finding the Fourth Proportional to 15,643, 23,442.06 and 11,743

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Solution

The fourth proportional to 15,643, 23,442.06 and 11,743 is: 17,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643 : 23,442.06 = 11,743 : x
  2. Step 2: Convert to fraction form
    15,643/23,442.06 = 11,743/x
  3. Step 3: Cross multiply
    15,643x = 23,442.06 × 11,743
  4. Step 4: Simplify right side
    15,643x = 275,280,110.58
  5. Step 5: Solve for x
    x = 275,280,110.58/15,643
  6. Step 6: Final answer
    x = 17,597.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.