Home / 3,075.84-4,609.28-1,534.72

Finding the Fourth Proportional to 3,075.84, 4,609.28 and 1,534.72

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Solution

The fourth proportional to 3,075.84, 4,609.28 and 1,534.72 is: 2,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.84 : 4,609.28 = 1,534.72 : x
  2. Step 2: Convert to fraction form
    3,075.84/4,609.28 = 1,534.72/x
  3. Step 3: Cross multiply
    3,075.84x = 4,609.28 × 1,534.72
  4. Step 4: Simplify right side
    3,075.84x = 7,073,954.20
  5. Step 5: Solve for x
    x = 7,073,954.20/3,075.84
  6. Step 6: Final answer
    x = 2,299.84

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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.