Home / 10,971.76-16,455.80-3,178.74

Finding the Fourth Proportional to 10,971.76, 16,455.80 and 3,178.74

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Solution

The fourth proportional to 10,971.76, 16,455.80 and 3,178.74 is: 4,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.76 : 16,455.80 = 3,178.74 : x
  2. Step 2: Convert to fraction form
    10,971.76/16,455.80 = 3,178.74/x
  3. Step 3: Cross multiply
    10,971.76x = 16,455.80 × 3,178.74
  4. Step 4: Simplify right side
    10,971.76x = 52,308,709.69
  5. Step 5: Solve for x
    x = 52,308,709.69/10,971.76
  6. Step 6: Final answer
    x = 4,767.58

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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.