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Finding the Fourth Proportional to 5,167.76, 7,747.05 and 1,880.24

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Solution

The fourth proportional to 5,167.76, 7,747.05 and 1,880.24 is: 2,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.76 : 7,747.05 = 1,880.24 : x
  2. Step 2: Convert to fraction form
    5,167.76/7,747.05 = 1,880.24/x
  3. Step 3: Cross multiply
    5,167.76x = 7,747.05 × 1,880.24
  4. Step 4: Simplify right side
    5,167.76x = 14,566,313.29
  5. Step 5: Solve for x
    x = 14,566,313.29/5,167.76
  6. Step 6: Final answer
    x = 2,818.69

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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.