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Finding the Fourth Proportional to 12,506.76, 17,253.06 and 8,253.35

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Solution

The fourth proportional to 12,506.76, 17,253.06 and 8,253.35 is: 11,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.76 : 17,253.06 = 8,253.35 : x
  2. Step 2: Convert to fraction form
    12,506.76/17,253.06 = 8,253.35/x
  3. Step 3: Cross multiply
    12,506.76x = 17,253.06 × 8,253.35
  4. Step 4: Simplify right side
    12,506.76x = 142,395,542.75
  5. Step 5: Solve for x
    x = 142,395,542.75/12,506.76
  6. Step 6: Final answer
    x = 11,385.49

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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.