Home / 4,102.34-6,154.10-1,505.07

Finding the Fourth Proportional to 4,102.34, 6,154.10 and 1,505.07

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Solution

The fourth proportional to 4,102.34, 6,154.10 and 1,505.07 is: 2,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.34 : 6,154.10 = 1,505.07 : x
  2. Step 2: Convert to fraction form
    4,102.34/6,154.10 = 1,505.07/x
  3. Step 3: Cross multiply
    4,102.34x = 6,154.10 × 1,505.07
  4. Step 4: Simplify right side
    4,102.34x = 9,262,343.76
  5. Step 5: Solve for x
    x = 9,262,343.76/4,102.34
  6. Step 6: Final answer
    x = 2,257.82

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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.