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Finding the Fourth Proportional to 14,004.40, 20,986.80 and 7,767.16

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Solution

The fourth proportional to 14,004.40, 20,986.80 and 7,767.16 is: 11,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.40 : 20,986.80 = 7,767.16 : x
  2. Step 2: Convert to fraction form
    14,004.40/20,986.80 = 7,767.16/x
  3. Step 3: Cross multiply
    14,004.40x = 20,986.80 × 7,767.16
  4. Step 4: Simplify right side
    14,004.40x = 163,007,833.49
  5. Step 5: Solve for x
    x = 163,007,833.49/14,004.40
  6. Step 6: Final answer
    x = 11,639.76

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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.