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Finding the Fourth Proportional to 7,866.93, 10,857.21 and 4,508.67

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Solution

The fourth proportional to 7,866.93, 10,857.21 and 4,508.67 is: 6,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.93 : 10,857.21 = 4,508.67 : x
  2. Step 2: Convert to fraction form
    7,866.93/10,857.21 = 4,508.67/x
  3. Step 3: Cross multiply
    7,866.93x = 10,857.21 × 4,508.67
  4. Step 4: Simplify right side
    7,866.93x = 48,951,577.01
  5. Step 5: Solve for x
    x = 48,951,577.01/7,866.93
  6. Step 6: Final answer
    x = 6,222.45

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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.