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Finding the Fourth Proportional to 8,471.45, 11,701.74 and 6,506.28

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Solution

The fourth proportional to 8,471.45, 11,701.74 and 6,506.28 is: 8,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.45 : 11,701.74 = 6,506.28 : x
  2. Step 2: Convert to fraction form
    8,471.45/11,701.74 = 6,506.28/x
  3. Step 3: Cross multiply
    8,471.45x = 11,701.74 × 6,506.28
  4. Step 4: Simplify right side
    8,471.45x = 76,134,796.93
  5. Step 5: Solve for x
    x = 76,134,796.93/8,471.45
  6. Step 6: Final answer
    x = 8,987.22

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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.