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Finding the Fourth Proportional to 7,814.10, 11,735.15 and 7,188.28

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Solution

The fourth proportional to 7,814.10, 11,735.15 and 7,188.28 is: 10,795.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.10 : 11,735.15 = 7,188.28 : x
  2. Step 2: Convert to fraction form
    7,814.10/11,735.15 = 7,188.28/x
  3. Step 3: Cross multiply
    7,814.10x = 11,735.15 × 7,188.28
  4. Step 4: Simplify right side
    7,814.10x = 84,355,478.76
  5. Step 5: Solve for x
    x = 84,355,478.76/7,814.10
  6. Step 6: Final answer
    x = 10,795.29

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1.5x scale

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.