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Finding the Fourth Proportional to 6,398.40, 8,820 and 4,160

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Solution

The fourth proportional to 6,398.40, 8,820 and 4,160 is: 5,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.40 : 8,820 = 4,160 : x
  2. Step 2: Convert to fraction form
    6,398.40/8,820 = 4,160/x
  3. Step 3: Cross multiply
    6,398.40x = 8,820 × 4,160
  4. Step 4: Simplify right side
    6,398.40x = 36,691,200
  5. Step 5: Solve for x
    x = 36,691,200/6,398.40
  6. Step 6: Final answer
    x = 5,734.43

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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.