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Finding the Fourth Proportional to 7,816.08, 10,785 and 5,164.56

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Solution

The fourth proportional to 7,816.08, 10,785 and 5,164.56 is: 7,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.08 : 10,785 = 5,164.56 : x
  2. Step 2: Convert to fraction form
    7,816.08/10,785 = 5,164.56/x
  3. Step 3: Cross multiply
    7,816.08x = 10,785 × 5,164.56
  4. Step 4: Simplify right side
    7,816.08x = 55,699,779.60
  5. Step 5: Solve for x
    x = 55,699,779.60/7,816.08
  6. Step 6: Final answer
    x = 7,126.31

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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.