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Finding the Fourth Proportional to 15,978, 22,055.40 and 9,354

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Solution

The fourth proportional to 15,978, 22,055.40 and 9,354 is: 12,911.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,978 : 22,055.40 = 9,354 : x
  2. Step 2: Convert to fraction form
    15,978/22,055.40 = 9,354/x
  3. Step 3: Cross multiply
    15,978x = 22,055.40 × 9,354
  4. Step 4: Simplify right side
    15,978x = 206,306,211.60
  5. Step 5: Solve for x
    x = 206,306,211.60/15,978
  6. Step 6: Final answer
    x = 12,911.89

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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.