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Finding the Fourth Proportional to 5,102.57, 7,654.04 and 1,405.08

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Solution

The fourth proportional to 5,102.57, 7,654.04 and 1,405.08 is: 2,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102.57 : 7,654.04 = 1,405.08 : x
  2. Step 2: Convert to fraction form
    5,102.57/7,654.04 = 1,405.08/x
  3. Step 3: Cross multiply
    5,102.57x = 7,654.04 × 1,405.08
  4. Step 4: Simplify right side
    5,102.57x = 10,754,531.50
  5. Step 5: Solve for x
    x = 10,754,531.50/5,102.57
  6. Step 6: Final answer
    x = 2,107.67

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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.