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Finding the Fourth Proportional to 9,141.05, 12,614.64 and 4,949.30

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Solution

The fourth proportional to 9,141.05, 12,614.64 and 4,949.30 is: 6,830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.05 : 12,614.64 = 4,949.30 : x
  2. Step 2: Convert to fraction form
    9,141.05/12,614.64 = 4,949.30/x
  3. Step 3: Cross multiply
    9,141.05x = 12,614.64 × 4,949.30
  4. Step 4: Simplify right side
    9,141.05x = 62,433,637.75
  5. Step 5: Solve for x
    x = 62,433,637.75/9,141.05
  6. Step 6: Final answer
    x = 6,830.03

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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.