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Finding the Fourth Proportional to 6,484.40, 9,712.20 and 3,402.80

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Solution

The fourth proportional to 6,484.40, 9,712.20 and 3,402.80 is: 5,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.40 : 9,712.20 = 3,402.80 : x
  2. Step 2: Convert to fraction form
    6,484.40/9,712.20 = 3,402.80/x
  3. Step 3: Cross multiply
    6,484.40x = 9,712.20 × 3,402.80
  4. Step 4: Simplify right side
    6,484.40x = 33,048,674.16
  5. Step 5: Solve for x
    x = 33,048,674.16/6,484.40
  6. Step 6: Final answer
    x = 5,096.64

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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.