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Finding the Fourth Proportional to 7,847.50, 10,830.51 and 4,535.50

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Solution

The fourth proportional to 7,847.50, 10,830.51 and 4,535.50 is: 6,259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.50 : 10,830.51 = 4,535.50 : x
  2. Step 2: Convert to fraction form
    7,847.50/10,830.51 = 4,535.50/x
  3. Step 3: Cross multiply
    7,847.50x = 10,830.51 × 4,535.50
  4. Step 4: Simplify right side
    7,847.50x = 49,121,778.11
  5. Step 5: Solve for x
    x = 49,121,778.11/7,847.50
  6. Step 6: Final answer
    x = 6,259.54

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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.