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Finding the Fourth Proportional to 5,167.79, 7,749.69 and 1,656.84

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Solution

The fourth proportional to 5,167.79, 7,749.69 and 1,656.84 is: 2,484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.79 : 7,749.69 = 1,656.84 : x
  2. Step 2: Convert to fraction form
    5,167.79/7,749.69 = 1,656.84/x
  3. Step 3: Cross multiply
    5,167.79x = 7,749.69 × 1,656.84
  4. Step 4: Simplify right side
    5,167.79x = 12,839,996.38
  5. Step 5: Solve for x
    x = 12,839,996.38/5,167.79
  6. Step 6: Final answer
    x = 2,484.62

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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.