Home / 4,102.50-6,153.87-1,024.50

Finding the Fourth Proportional to 4,102.50, 6,153.87 and 1,024.50

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Solution

The fourth proportional to 4,102.50, 6,153.87 and 1,024.50 is: 1,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.50 : 6,153.87 = 1,024.50 : x
  2. Step 2: Convert to fraction form
    4,102.50/6,153.87 = 1,024.50/x
  3. Step 3: Cross multiply
    4,102.50x = 6,153.87 × 1,024.50
  4. Step 4: Simplify right side
    4,102.50x = 6,304,639.82
  5. Step 5: Solve for x
    x = 6,304,639.82/4,102.50
  6. Step 6: Final answer
    x = 1,536.78

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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.