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Finding the Fourth Proportional to 4,842.88, 6,689.28 and 4,212.16

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Solution

The fourth proportional to 4,842.88, 6,689.28 and 4,212.16 is: 5,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.88 : 6,689.28 = 4,212.16 : x
  2. Step 2: Convert to fraction form
    4,842.88/6,689.28 = 4,212.16/x
  3. Step 3: Cross multiply
    4,842.88x = 6,689.28 × 4,212.16
  4. Step 4: Simplify right side
    4,842.88x = 28,176,317.64
  5. Step 5: Solve for x
    x = 28,176,317.64/4,842.88
  6. Step 6: Final answer
    x = 5,818.09

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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.