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Finding the Fourth Proportional to 9,802.40, 14,703.60 and 3,228.80

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Solution

The fourth proportional to 9,802.40, 14,703.60 and 3,228.80 is: 4,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.40 : 14,703.60 = 3,228.80 : x
  2. Step 2: Convert to fraction form
    9,802.40/14,703.60 = 3,228.80/x
  3. Step 3: Cross multiply
    9,802.40x = 14,703.60 × 3,228.80
  4. Step 4: Simplify right side
    9,802.40x = 47,474,983.68
  5. Step 5: Solve for x
    x = 47,474,983.68/9,802.40
  6. Step 6: Final answer
    x = 4,843.20

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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.