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Finding the Fourth Proportional to 4,609.96, 6,913.82 and 2,143.51

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Solution

The fourth proportional to 4,609.96, 6,913.82 and 2,143.51 is: 3,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.96 : 6,913.82 = 2,143.51 : x
  2. Step 2: Convert to fraction form
    4,609.96/6,913.82 = 2,143.51/x
  3. Step 3: Cross multiply
    4,609.96x = 6,913.82 × 2,143.51
  4. Step 4: Simplify right side
    4,609.96x = 14,819,830.38
  5. Step 5: Solve for x
    x = 14,819,830.38/4,609.96
  6. Step 6: Final answer
    x = 3,214.74

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1.5x scale

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.