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Finding the Fourth Proportional to 5,191.79, 7,788.92 and 1,681.80

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Solution

The fourth proportional to 5,191.79, 7,788.92 and 1,681.80 is: 2,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.79 : 7,788.92 = 1,681.80 : x
  2. Step 2: Convert to fraction form
    5,191.79/7,788.92 = 1,681.80/x
  3. Step 3: Cross multiply
    5,191.79x = 7,788.92 × 1,681.80
  4. Step 4: Simplify right side
    5,191.79x = 13,099,366.71
  5. Step 5: Solve for x
    x = 13,099,366.71/5,191.79
  6. Step 6: Final answer
    x = 2,523.09

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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.