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Finding the Fourth Proportional to 12,670.64, 19,014.12 and 6,831.32

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Solution

The fourth proportional to 12,670.64, 19,014.12 and 6,831.32 is: 10,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.64 : 19,014.12 = 6,831.32 : x
  2. Step 2: Convert to fraction form
    12,670.64/19,014.12 = 6,831.32/x
  3. Step 3: Cross multiply
    12,670.64x = 19,014.12 × 6,831.32
  4. Step 4: Simplify right side
    12,670.64x = 129,891,538.24
  5. Step 5: Solve for x
    x = 129,891,538.24/12,670.64
  6. Step 6: Final answer
    x = 10,251.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.