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Finding the Fourth Proportional to 15,109.76, 20,848.38 and 8,394.42

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Solution

The fourth proportional to 15,109.76, 20,848.38 and 8,394.42 is: 11,582.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.76 : 20,848.38 = 8,394.42 : x
  2. Step 2: Convert to fraction form
    15,109.76/20,848.38 = 8,394.42/x
  3. Step 3: Cross multiply
    15,109.76x = 20,848.38 × 8,394.42
  4. Step 4: Simplify right side
    15,109.76x = 175,010,058.04
  5. Step 5: Solve for x
    x = 175,010,058.04/15,109.76
  6. Step 6: Final answer
    x = 11,582.58

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1.5x scale

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.