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Finding the Fourth Proportional to 7,860, 10,847.33 and 4,503.27

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Solution

The fourth proportional to 7,860, 10,847.33 and 4,503.27 is: 6,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 10,847.33 = 4,503.27 : x
  2. Step 2: Convert to fraction form
    7,860/10,847.33 = 4,503.27/x
  3. Step 3: Cross multiply
    7,860x = 10,847.33 × 4,503.27
  4. Step 4: Simplify right side
    7,860x = 48,848,455.77
  5. Step 5: Solve for x
    x = 48,848,455.77/7,860
  6. Step 6: Final answer
    x = 6,214.82

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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.