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Finding the Fourth Proportional to 9,969.60, 13,752.96 and 6,828.80

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Solution

The fourth proportional to 9,969.60, 13,752.96 and 6,828.80 is: 9,420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.60 : 13,752.96 = 6,828.80 : x
  2. Step 2: Convert to fraction form
    9,969.60/13,752.96 = 6,828.80/x
  3. Step 3: Cross multiply
    9,969.60x = 13,752.96 × 6,828.80
  4. Step 4: Simplify right side
    9,969.60x = 93,916,213.25
  5. Step 5: Solve for x
    x = 93,916,213.25/9,969.60
  6. Step 6: Final answer
    x = 9,420.26

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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.