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Finding the Fourth Proportional to 4,716.05, 7,075.10 and 1,429.40

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Solution

The fourth proportional to 4,716.05, 7,075.10 and 1,429.40 is: 2,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.05 : 7,075.10 = 1,429.40 : x
  2. Step 2: Convert to fraction form
    4,716.05/7,075.10 = 1,429.40/x
  3. Step 3: Cross multiply
    4,716.05x = 7,075.10 × 1,429.40
  4. Step 4: Simplify right side
    4,716.05x = 10,113,142.67
  5. Step 5: Solve for x
    x = 10,113,142.67/4,716.05
  6. Step 6: Final answer
    x = 2,144.41

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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.