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Finding the Fourth Proportional to 7,842.13, 10,821.86 and 4,256.93

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Solution

The fourth proportional to 7,842.13, 10,821.86 and 4,256.93 is: 5,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.13 : 10,821.86 = 4,256.93 : x
  2. Step 2: Convert to fraction form
    7,842.13/10,821.86 = 4,256.93/x
  3. Step 3: Cross multiply
    7,842.13x = 10,821.86 × 4,256.93
  4. Step 4: Simplify right side
    7,842.13x = 46,067,900.49
  5. Step 5: Solve for x
    x = 46,067,900.49/7,842.13
  6. Step 6: Final answer
    x = 5,874.41

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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.