Home / 2,288.05-3,432.42-971.80

Finding the Fourth Proportional to 2,288.05, 3,432.42 and 971.80

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Solution

The fourth proportional to 2,288.05, 3,432.42 and 971.80 is: 1,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.05 : 3,432.42 = 971.80 : x
  2. Step 2: Convert to fraction form
    2,288.05/3,432.42 = 971.80/x
  3. Step 3: Cross multiply
    2,288.05x = 3,432.42 × 971.80
  4. Step 4: Simplify right side
    2,288.05x = 3,335,625.76
  5. Step 5: Solve for x
    x = 3,335,625.76/2,288.05
  6. Step 6: Final answer
    x = 1,457.85

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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.