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Finding the Fourth Proportional to 8,456, 11,669.28 and 4,730

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Solution

The fourth proportional to 8,456, 11,669.28 and 4,730 is: 6,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456 : 11,669.28 = 4,730 : x
  2. Step 2: Convert to fraction form
    8,456/11,669.28 = 4,730/x
  3. Step 3: Cross multiply
    8,456x = 11,669.28 × 4,730
  4. Step 4: Simplify right side
    8,456x = 55,195,694.40
  5. Step 5: Solve for x
    x = 55,195,694.40/8,456
  6. Step 6: Final answer
    x = 6,527.40

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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.