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Finding the Fourth Proportional to 7,284, 10,975.62 and 6,488.34

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Solution

The fourth proportional to 7,284, 10,975.62 and 6,488.34 is: 9,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284 : 10,975.62 = 6,488.34 : x
  2. Step 2: Convert to fraction form
    7,284/10,975.62 = 6,488.34/x
  3. Step 3: Cross multiply
    7,284x = 10,975.62 × 6,488.34
  4. Step 4: Simplify right side
    7,284x = 71,213,554.27
  5. Step 5: Solve for x
    x = 71,213,554.27/7,284
  6. Step 6: Final answer
    x = 9,776.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.