Home / 3,021.77-4,532.66-971.21

Finding the Fourth Proportional to 3,021.77, 4,532.66 and 971.21

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Solution

The fourth proportional to 3,021.77, 4,532.66 and 971.21 is: 1,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.77 : 4,532.66 = 971.21 : x
  2. Step 2: Convert to fraction form
    3,021.77/4,532.66 = 971.21/x
  3. Step 3: Cross multiply
    3,021.77x = 4,532.66 × 971.21
  4. Step 4: Simplify right side
    3,021.77x = 4,402,159.86
  5. Step 5: Solve for x
    x = 4,402,159.86/3,021.77
  6. Step 6: Final answer
    x = 1,456.82

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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.