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Finding the Fourth Proportional to 15,678, 21,634.56 and 8,603.04

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Solution

The fourth proportional to 15,678, 21,634.56 and 8,603.04 is: 11,871.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 21,634.56 = 8,603.04 : x
  2. Step 2: Convert to fraction form
    15,678/21,634.56 = 8,603.04/x
  3. Step 3: Cross multiply
    15,678x = 21,634.56 × 8,603.04
  4. Step 4: Simplify right side
    15,678x = 186,122,985.06
  5. Step 5: Solve for x
    x = 186,122,985.06/15,678
  6. Step 6: Final answer
    x = 11,871.60

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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.