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Finding the Fourth Proportional to 6,674, 9,210.24 and 4,190

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Solution

The fourth proportional to 6,674, 9,210.24 and 4,190 is: 5,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674 : 9,210.24 = 4,190 : x
  2. Step 2: Convert to fraction form
    6,674/9,210.24 = 4,190/x
  3. Step 3: Cross multiply
    6,674x = 9,210.24 × 4,190
  4. Step 4: Simplify right side
    6,674x = 38,590,905.60
  5. Step 5: Solve for x
    x = 38,590,905.60/6,674
  6. Step 6: Final answer
    x = 5,782.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.