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Finding the Fourth Proportional to 9,640.32, 13,304 and 5,448.32

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Solution

The fourth proportional to 9,640.32, 13,304 and 5,448.32 is: 7,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.32 : 13,304 = 5,448.32 : x
  2. Step 2: Convert to fraction form
    9,640.32/13,304 = 5,448.32/x
  3. Step 3: Cross multiply
    9,640.32x = 13,304 × 5,448.32
  4. Step 4: Simplify right side
    9,640.32x = 72,484,449.28
  5. Step 5: Solve for x
    x = 72,484,449.28/9,640.32
  6. Step 6: Final answer
    x = 7,518.88

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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.