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Finding the Fourth Proportional to 8,506.40, 12,750.48 and 4,117.82

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Solution

The fourth proportional to 8,506.40, 12,750.48 and 4,117.82 is: 6,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.40 : 12,750.48 = 4,117.82 : x
  2. Step 2: Convert to fraction form
    8,506.40/12,750.48 = 4,117.82/x
  3. Step 3: Cross multiply
    8,506.40x = 12,750.48 × 4,117.82
  4. Step 4: Simplify right side
    8,506.40x = 52,504,117.80
  5. Step 5: Solve for x
    x = 52,504,117.80/8,506.40
  6. Step 6: Final answer
    x = 6,172.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.