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Finding the Fourth Proportional to 6,688, 10,032.54 and 2,071

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Solution

The fourth proportional to 6,688, 10,032.54 and 2,071 is: 3,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688 : 10,032.54 = 2,071 : x
  2. Step 2: Convert to fraction form
    6,688/10,032.54 = 2,071/x
  3. Step 3: Cross multiply
    6,688x = 10,032.54 × 2,071
  4. Step 4: Simplify right side
    6,688x = 20,777,390.34
  5. Step 5: Solve for x
    x = 20,777,390.34/6,688
  6. Step 6: Final answer
    x = 3,106.67

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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.