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Finding the Fourth Proportional to 12,135.99, 16,748.21 and 6,831.15

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Solution

The fourth proportional to 12,135.99, 16,748.21 and 6,831.15 is: 9,427.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.99 : 16,748.21 = 6,831.15 : x
  2. Step 2: Convert to fraction form
    12,135.99/16,748.21 = 6,831.15/x
  3. Step 3: Cross multiply
    12,135.99x = 16,748.21 × 6,831.15
  4. Step 4: Simplify right side
    12,135.99x = 114,409,534.74
  5. Step 5: Solve for x
    x = 114,409,534.74/12,135.99
  6. Step 6: Final answer
    x = 9,427.29

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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.