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Finding the Fourth Proportional to 13,645.44, 18,831.78 and 7,676.74

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Solution

The fourth proportional to 13,645.44, 18,831.78 and 7,676.74 is: 10,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.44 : 18,831.78 = 7,676.74 : x
  2. Step 2: Convert to fraction form
    13,645.44/18,831.78 = 7,676.74/x
  3. Step 3: Cross multiply
    13,645.44x = 18,831.78 × 7,676.74
  4. Step 4: Simplify right side
    13,645.44x = 144,566,678.80
  5. Step 5: Solve for x
    x = 144,566,678.80/13,645.44
  6. Step 6: Final answer
    x = 10,594.50

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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.