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Finding the Fourth Proportional to 7,210.84, 9,949.62 and 4,066.42

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Solution

The fourth proportional to 7,210.84, 9,949.62 and 4,066.42 is: 5,610.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.84 : 9,949.62 = 4,066.42 : x
  2. Step 2: Convert to fraction form
    7,210.84/9,949.62 = 4,066.42/x
  3. Step 3: Cross multiply
    7,210.84x = 9,949.62 × 4,066.42
  4. Step 4: Simplify right side
    7,210.84x = 40,459,333.76
  5. Step 5: Solve for x
    x = 40,459,333.76/7,210.84
  6. Step 6: Final answer
    x = 5,610.90

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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.