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Finding the Fourth Proportional to 5,110.94, 7,666.50 and 1,648.20

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Solution

The fourth proportional to 5,110.94, 7,666.50 and 1,648.20 is: 2,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,110.94 : 7,666.50 = 1,648.20 : x
  2. Step 2: Convert to fraction form
    5,110.94/7,666.50 = 1,648.20/x
  3. Step 3: Cross multiply
    5,110.94x = 7,666.50 × 1,648.20
  4. Step 4: Simplify right side
    5,110.94x = 12,635,925.30
  5. Step 5: Solve for x
    x = 12,635,925.30/5,110.94
  6. Step 6: Final answer
    x = 2,472.33

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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.