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Finding the Fourth Proportional to 8,405.56, 11,602.47 and 5,760.64

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Solution

The fourth proportional to 8,405.56, 11,602.47 and 5,760.64 is: 7,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.56 : 11,602.47 = 5,760.64 : x
  2. Step 2: Convert to fraction form
    8,405.56/11,602.47 = 5,760.64/x
  3. Step 3: Cross multiply
    8,405.56x = 11,602.47 × 5,760.64
  4. Step 4: Simplify right side
    8,405.56x = 66,837,652.78
  5. Step 5: Solve for x
    x = 66,837,652.78/8,405.56
  6. Step 6: Final answer
    x = 7,951.60

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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.