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Finding the Fourth Proportional to 6,270, 9,409.72 and 4,290.90

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Solution

The fourth proportional to 6,270, 9,409.72 and 4,290.90 is: 6,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270 : 9,409.72 = 4,290.90 : x
  2. Step 2: Convert to fraction form
    6,270/9,409.72 = 4,290.90/x
  3. Step 3: Cross multiply
    6,270x = 9,409.72 × 4,290.90
  4. Step 4: Simplify right side
    6,270x = 40,376,167.55
  5. Step 5: Solve for x
    x = 40,376,167.55/6,270
  6. Step 6: Final answer
    x = 6,439.58

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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.