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Finding the Fourth Proportional to 2,715.76, 3,745.08 and 2,006.40

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Solution

The fourth proportional to 2,715.76, 3,745.08 and 2,006.40 is: 2,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.76 : 3,745.08 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    2,715.76/3,745.08 = 2,006.40/x
  3. Step 3: Cross multiply
    2,715.76x = 3,745.08 × 2,006.40
  4. Step 4: Simplify right side
    2,715.76x = 7,514,128.51
  5. Step 5: Solve for x
    x = 7,514,128.51/2,715.76
  6. Step 6: Final answer
    x = 2,766.86

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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.