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Finding the Fourth Proportional to 12,178.81, 16,790.02 and 7,700.32

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Solution

The fourth proportional to 12,178.81, 16,790.02 and 7,700.32 is: 10,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.81 : 16,790.02 = 7,700.32 : x
  2. Step 2: Convert to fraction form
    12,178.81/16,790.02 = 7,700.32/x
  3. Step 3: Cross multiply
    12,178.81x = 16,790.02 × 7,700.32
  4. Step 4: Simplify right side
    12,178.81x = 129,288,526.81
  5. Step 5: Solve for x
    x = 129,288,526.81/12,178.81
  6. Step 6: Final answer
    x = 10,615.86

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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.