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Finding the Fourth Proportional to 3,480.33, 4,800.14 and 2,154.77

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Solution

The fourth proportional to 3,480.33, 4,800.14 and 2,154.77 is: 2,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.33 : 4,800.14 = 2,154.77 : x
  2. Step 2: Convert to fraction form
    3,480.33/4,800.14 = 2,154.77/x
  3. Step 3: Cross multiply
    3,480.33x = 4,800.14 × 2,154.77
  4. Step 4: Simplify right side
    3,480.33x = 10,343,173.67
  5. Step 5: Solve for x
    x = 10,343,173.67/3,480.33
  6. Step 6: Final answer
    x = 2,971.89

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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.