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Finding the Fourth Proportional to 8,141.76, 11,235.75 and 4,784.64

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Solution

The fourth proportional to 8,141.76, 11,235.75 and 4,784.64 is: 6,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.76 : 11,235.75 = 4,784.64 : x
  2. Step 2: Convert to fraction form
    8,141.76/11,235.75 = 4,784.64/x
  3. Step 3: Cross multiply
    8,141.76x = 11,235.75 × 4,784.64
  4. Step 4: Simplify right side
    8,141.76x = 53,759,018.88
  5. Step 5: Solve for x
    x = 53,759,018.88/8,141.76
  6. Step 6: Final answer
    x = 6,602.87

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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.