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Finding the Fourth Proportional to 1,745.76, 2,407.68 and 1,572.96

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Solution

The fourth proportional to 1,745.76, 2,407.68 and 1,572.96 is: 2,169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.76 : 2,407.68 = 1,572.96 : x
  2. Step 2: Convert to fraction form
    1,745.76/2,407.68 = 1,572.96/x
  3. Step 3: Cross multiply
    1,745.76x = 2,407.68 × 1,572.96
  4. Step 4: Simplify right side
    1,745.76x = 3,787,184.33
  5. Step 5: Solve for x
    x = 3,787,184.33/1,745.76
  6. Step 6: Final answer
    x = 2,169.36

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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.