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Finding the Fourth Proportional to 12,270, 16,931.25 and 6,964.86

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Solution

The fourth proportional to 12,270, 16,931.25 and 6,964.86 is: 9,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270 : 16,931.25 = 6,964.86 : x
  2. Step 2: Convert to fraction form
    12,270/16,931.25 = 6,964.86/x
  3. Step 3: Cross multiply
    12,270x = 16,931.25 × 6,964.86
  4. Step 4: Simplify right side
    12,270x = 117,923,785.88
  5. Step 5: Solve for x
    x = 117,923,785.88/12,270
  6. Step 6: Final answer
    x = 9,610.74

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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.