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Finding the Fourth Proportional to 7,051.84, 10,578.32 and 1,857.68

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Solution

The fourth proportional to 7,051.84, 10,578.32 and 1,857.68 is: 2,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.84 : 10,578.32 = 1,857.68 : x
  2. Step 2: Convert to fraction form
    7,051.84/10,578.32 = 1,857.68/x
  3. Step 3: Cross multiply
    7,051.84x = 10,578.32 × 1,857.68
  4. Step 4: Simplify right side
    7,051.84x = 19,651,133.50
  5. Step 5: Solve for x
    x = 19,651,133.50/7,051.84
  6. Step 6: Final answer
    x = 2,786.67

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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.