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Finding the Fourth Proportional to 6,461.70, 8,916.73 and 3,628.47

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Solution

The fourth proportional to 6,461.70, 8,916.73 and 3,628.47 is: 5,007.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.70 : 8,916.73 = 3,628.47 : x
  2. Step 2: Convert to fraction form
    6,461.70/8,916.73 = 3,628.47/x
  3. Step 3: Cross multiply
    6,461.70x = 8,916.73 × 3,628.47
  4. Step 4: Simplify right side
    6,461.70x = 32,354,087.30
  5. Step 5: Solve for x
    x = 32,354,087.30/6,461.70
  6. Step 6: Final answer
    x = 5,007.06

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1.5x scale

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.