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Finding the Fourth Proportional to 3,971.76, 5,482.09 and 2,478.77

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Solution

The fourth proportional to 3,971.76, 5,482.09 and 2,478.77 is: 3,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.76 : 5,482.09 = 2,478.77 : x
  2. Step 2: Convert to fraction form
    3,971.76/5,482.09 = 2,478.77/x
  3. Step 3: Cross multiply
    3,971.76x = 5,482.09 × 2,478.77
  4. Step 4: Simplify right side
    3,971.76x = 13,588,840.23
  5. Step 5: Solve for x
    x = 13,588,840.23/3,971.76
  6. Step 6: Final answer
    x = 3,421.36

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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.