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Finding the Fourth Proportional to 7,646.34, 10,554 and 7,181.67

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Solution

The fourth proportional to 7,646.34, 10,554 and 7,181.67 is: 9,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.34 : 10,554 = 7,181.67 : x
  2. Step 2: Convert to fraction form
    7,646.34/10,554 = 7,181.67/x
  3. Step 3: Cross multiply
    7,646.34x = 10,554 × 7,181.67
  4. Step 4: Simplify right side
    7,646.34x = 75,795,345.18
  5. Step 5: Solve for x
    x = 75,795,345.18/7,646.34
  6. Step 6: Final answer
    x = 9,912.63

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Double scale
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1.5x scale

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.