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Finding the Fourth Proportional to 9,736, 13,435.68 and 5,320

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Solution

The fourth proportional to 9,736, 13,435.68 and 5,320 is: 7,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736 : 13,435.68 = 5,320 : x
  2. Step 2: Convert to fraction form
    9,736/13,435.68 = 5,320/x
  3. Step 3: Cross multiply
    9,736x = 13,435.68 × 5,320
  4. Step 4: Simplify right side
    9,736x = 71,477,817.60
  5. Step 5: Solve for x
    x = 71,477,817.60/9,736
  6. Step 6: Final answer
    x = 7,341.60

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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.