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Finding the Fourth Proportional to 9,969.84, 13,755.36 and 5,777.28

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Solution

The fourth proportional to 9,969.84, 13,755.36 and 5,777.28 is: 7,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.84 : 13,755.36 = 5,777.28 : x
  2. Step 2: Convert to fraction form
    9,969.84/13,755.36 = 5,777.28/x
  3. Step 3: Cross multiply
    9,969.84x = 13,755.36 × 5,777.28
  4. Step 4: Simplify right side
    9,969.84x = 79,468,566.22
  5. Step 5: Solve for x
    x = 79,468,566.22/9,969.84
  6. Step 6: Final answer
    x = 7,970.90

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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.