Home / 4,140-5,712.60-2,460.78

Finding the Fourth Proportional to 4,140, 5,712.60 and 2,460.78

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Solution

The fourth proportional to 4,140, 5,712.60 and 2,460.78 is: 3,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140 : 5,712.60 = 2,460.78 : x
  2. Step 2: Convert to fraction form
    4,140/5,712.60 = 2,460.78/x
  3. Step 3: Cross multiply
    4,140x = 5,712.60 × 2,460.78
  4. Step 4: Simplify right side
    4,140x = 14,057,451.83
  5. Step 5: Solve for x
    x = 14,057,451.83/4,140
  6. Step 6: Final answer
    x = 3,395.52

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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.