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Finding the Fourth Proportional to 6,409.74, 9,623.46 and 4,430.49

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Solution

The fourth proportional to 6,409.74, 9,623.46 and 4,430.49 is: 6,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.74 : 9,623.46 = 4,430.49 : x
  2. Step 2: Convert to fraction form
    6,409.74/9,623.46 = 4,430.49/x
  3. Step 3: Cross multiply
    6,409.74x = 9,623.46 × 4,430.49
  4. Step 4: Simplify right side
    6,409.74x = 42,636,643.30
  5. Step 5: Solve for x
    x = 42,636,643.30/6,409.74
  6. Step 6: Final answer
    x = 6,651.85

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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.