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Finding the Fourth Proportional to 4,842.72, 6,685.92 and 2,982.24

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Solution

The fourth proportional to 4,842.72, 6,685.92 and 2,982.24 is: 4,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.72 : 6,685.92 = 2,982.24 : x
  2. Step 2: Convert to fraction form
    4,842.72/6,685.92 = 2,982.24/x
  3. Step 3: Cross multiply
    4,842.72x = 6,685.92 × 2,982.24
  4. Step 4: Simplify right side
    4,842.72x = 19,939,018.06
  5. Step 5: Solve for x
    x = 19,939,018.06/4,842.72
  6. Step 6: Final answer
    x = 4,117.32

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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.