Home / 4,242-6,356.40-2,047.68

Finding the Fourth Proportional to 4,242, 6,356.40 and 2,047.68

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Solution

The fourth proportional to 4,242, 6,356.40 and 2,047.68 is: 3,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242 : 6,356.40 = 2,047.68 : x
  2. Step 2: Convert to fraction form
    4,242/6,356.40 = 2,047.68/x
  3. Step 3: Cross multiply
    4,242x = 6,356.40 × 2,047.68
  4. Step 4: Simplify right side
    4,242x = 13,015,873.15
  5. Step 5: Solve for x
    x = 13,015,873.15/4,242
  6. Step 6: Final answer
    x = 3,068.33

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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.