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Finding the Fourth Proportional to 9,148.80, 13,724.16 and 3,955.20

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Solution

The fourth proportional to 9,148.80, 13,724.16 and 3,955.20 is: 5,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.80 : 13,724.16 = 3,955.20 : x
  2. Step 2: Convert to fraction form
    9,148.80/13,724.16 = 3,955.20/x
  3. Step 3: Cross multiply
    9,148.80x = 13,724.16 × 3,955.20
  4. Step 4: Simplify right side
    9,148.80x = 54,281,797.63
  5. Step 5: Solve for x
    x = 54,281,797.63/9,148.80
  6. Step 6: Final answer
    x = 5,933.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.