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Finding the Fourth Proportional to 8,321.61, 11,483.62 and 4,784.74

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Solution

The fourth proportional to 8,321.61, 11,483.62 and 4,784.74 is: 6,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.61 : 11,483.62 = 4,784.74 : x
  2. Step 2: Convert to fraction form
    8,321.61/11,483.62 = 4,784.74/x
  3. Step 3: Cross multiply
    8,321.61x = 11,483.62 × 4,784.74
  4. Step 4: Simplify right side
    8,321.61x = 54,946,135.96
  5. Step 5: Solve for x
    x = 54,946,135.96/8,321.61
  6. Step 6: Final answer
    x = 6,602.83

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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.