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Finding the Fourth Proportional to 5,173.84, 7,760.75 and 1,663.76

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Solution

The fourth proportional to 5,173.84, 7,760.75 and 1,663.76 is: 2,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.84 : 7,760.75 = 1,663.76 : x
  2. Step 2: Convert to fraction form
    5,173.84/7,760.75 = 1,663.76/x
  3. Step 3: Cross multiply
    5,173.84x = 7,760.75 × 1,663.76
  4. Step 4: Simplify right side
    5,173.84x = 12,912,065.79
  5. Step 5: Solve for x
    x = 12,912,065.79/5,173.84
  6. Step 6: Final answer
    x = 2,495.65

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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.