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Finding the Fourth Proportional to 2,482.86, 3,420.24 and 2,127.62

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Solution

The fourth proportional to 2,482.86, 3,420.24 and 2,127.62 is: 2,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.86 : 3,420.24 = 2,127.62 : x
  2. Step 2: Convert to fraction form
    2,482.86/3,420.24 = 2,127.62/x
  3. Step 3: Cross multiply
    2,482.86x = 3,420.24 × 2,127.62
  4. Step 4: Simplify right side
    2,482.86x = 7,276,971.03
  5. Step 5: Solve for x
    x = 7,276,971.03/2,482.86
  6. Step 6: Final answer
    x = 2,930.88

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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.