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Finding the Fourth Proportional to 8,354, 11,528.80 and 4,628

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Solution

The fourth proportional to 8,354, 11,528.80 and 4,628 is: 6,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354 : 11,528.80 = 4,628 : x
  2. Step 2: Convert to fraction form
    8,354/11,528.80 = 4,628/x
  3. Step 3: Cross multiply
    8,354x = 11,528.80 × 4,628
  4. Step 4: Simplify right side
    8,354x = 53,355,286.40
  5. Step 5: Solve for x
    x = 53,355,286.40/8,354
  6. Step 6: Final answer
    x = 6,386.80

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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.