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Finding the Fourth Proportional to 8,471.85, 11,693.10 and 5,639.34

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Solution

The fourth proportional to 8,471.85, 11,693.10 and 5,639.34 is: 7,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.85 : 11,693.10 = 5,639.34 : x
  2. Step 2: Convert to fraction form
    8,471.85/11,693.10 = 5,639.34/x
  3. Step 3: Cross multiply
    8,471.85x = 11,693.10 × 5,639.34
  4. Step 4: Simplify right side
    8,471.85x = 65,941,366.55
  5. Step 5: Solve for x
    x = 65,941,366.55/8,471.85
  6. Step 6: Final answer
    x = 7,783.59

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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.