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Finding the Fourth Proportional to 15,678, 23,517 and 6,444

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Solution

The fourth proportional to 15,678, 23,517 and 6,444 is: 9,666

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 23,517 = 6,444 : x
  2. Step 2: Convert to fraction form
    15,678/23,517 = 6,444/x
  3. Step 3: Cross multiply
    15,678x = 23,517 × 6,444
  4. Step 4: Simplify right side
    15,678x = 151,543,548
  5. Step 5: Solve for x
    x = 151,543,548/15,678
  6. Step 6: Final answer
    x = 9,666

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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.