Home / 10,946-16,421.44-4,020.50

Finding the Fourth Proportional to 10,946, 16,421.44 and 4,020.50

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Solution

The fourth proportional to 10,946, 16,421.44 and 4,020.50 is: 6,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 16,421.44 = 4,020.50 : x
  2. Step 2: Convert to fraction form
    10,946/16,421.44 = 4,020.50/x
  3. Step 3: Cross multiply
    10,946x = 16,421.44 × 4,020.50
  4. Step 4: Simplify right side
    10,946x = 66,022,399.52
  5. Step 5: Solve for x
    x = 66,022,399.52/10,946
  6. Step 6: Final answer
    x = 6,031.65

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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.