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Finding the Fourth Proportional to 7,640.68, 11,462.10 and 2,898.58

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Solution

The fourth proportional to 7,640.68, 11,462.10 and 2,898.58 is: 4,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.68 : 11,462.10 = 2,898.58 : x
  2. Step 2: Convert to fraction form
    7,640.68/11,462.10 = 2,898.58/x
  3. Step 3: Cross multiply
    7,640.68x = 11,462.10 × 2,898.58
  4. Step 4: Simplify right side
    7,640.68x = 33,223,813.82
  5. Step 5: Solve for x
    x = 33,223,813.82/7,640.68
  6. Step 6: Final answer
    x = 4,348.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.