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Finding the Fourth Proportional to 5,142.99, 7,712.89 and 1,855.66

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Solution

The fourth proportional to 5,142.99, 7,712.89 and 1,855.66 is: 2,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.99 : 7,712.89 = 1,855.66 : x
  2. Step 2: Convert to fraction form
    5,142.99/7,712.89 = 1,855.66/x
  3. Step 3: Cross multiply
    5,142.99x = 7,712.89 × 1,855.66
  4. Step 4: Simplify right side
    5,142.99x = 14,312,486.81
  5. Step 5: Solve for x
    x = 14,312,486.81/5,142.99
  6. Step 6: Final answer
    x = 2,782.91

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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.