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Finding the Fourth Proportional to 8,506, 11,738.34 and 4,780

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Solution

The fourth proportional to 8,506, 11,738.34 and 4,780 is: 6,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506 : 11,738.34 = 4,780 : x
  2. Step 2: Convert to fraction form
    8,506/11,738.34 = 4,780/x
  3. Step 3: Cross multiply
    8,506x = 11,738.34 × 4,780
  4. Step 4: Simplify right side
    8,506x = 56,109,265.20
  5. Step 5: Solve for x
    x = 56,109,265.20/8,506
  6. Step 6: Final answer
    x = 6,596.43

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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.