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Finding the Fourth Proportional to 7,281, 10,047.78 and 3,969

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Solution

The fourth proportional to 7,281, 10,047.78 and 3,969 is: 5,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281 : 10,047.78 = 3,969 : x
  2. Step 2: Convert to fraction form
    7,281/10,047.78 = 3,969/x
  3. Step 3: Cross multiply
    7,281x = 10,047.78 × 3,969
  4. Step 4: Simplify right side
    7,281x = 39,879,638.82
  5. Step 5: Solve for x
    x = 39,879,638.82/7,281
  6. Step 6: Final answer
    x = 5,477.22

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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.