Home / 10,946-16,421.24-3,154.16

Finding the Fourth Proportional to 10,946, 16,421.24 and 3,154.16

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Solution

The fourth proportional to 10,946, 16,421.24 and 3,154.16 is: 4,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946 : 16,421.24 = 3,154.16 : x
  2. Step 2: Convert to fraction form
    10,946/16,421.24 = 3,154.16/x
  3. Step 3: Cross multiply
    10,946x = 16,421.24 × 3,154.16
  4. Step 4: Simplify right side
    10,946x = 51,795,218.36
  5. Step 5: Solve for x
    x = 51,795,218.36/10,946
  6. Step 6: Final answer
    x = 4,731.89

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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.