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Finding the Fourth Proportional to 6,490, 8,956.20 and 3,546

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Solution

The fourth proportional to 6,490, 8,956.20 and 3,546 is: 4,893.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490 : 8,956.20 = 3,546 : x
  2. Step 2: Convert to fraction form
    6,490/8,956.20 = 3,546/x
  3. Step 3: Cross multiply
    6,490x = 8,956.20 × 3,546
  4. Step 4: Simplify right side
    6,490x = 31,758,685.20
  5. Step 5: Solve for x
    x = 31,758,685.20/6,490
  6. Step 6: Final answer
    x = 4,893.48

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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.