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Finding the Fourth Proportional to 7,355.84, 10,151.10 and 3,998.68

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Solution

The fourth proportional to 7,355.84, 10,151.10 and 3,998.68 is: 5,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.84 : 10,151.10 = 3,998.68 : x
  2. Step 2: Convert to fraction form
    7,355.84/10,151.10 = 3,998.68/x
  3. Step 3: Cross multiply
    7,355.84x = 10,151.10 × 3,998.68
  4. Step 4: Simplify right side
    7,355.84x = 40,590,975.17
  5. Step 5: Solve for x
    x = 40,590,975.17/7,355.84
  6. Step 6: Final answer
    x = 5,518.20

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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.