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Finding the Fourth Proportional to 5,118.94, 7,678.14 and 2,521

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Solution

The fourth proportional to 5,118.94, 7,678.14 and 2,521 is: 3,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118.94 : 7,678.14 = 2,521 : x
  2. Step 2: Convert to fraction form
    5,118.94/7,678.14 = 2,521/x
  3. Step 3: Cross multiply
    5,118.94x = 7,678.14 × 2,521
  4. Step 4: Simplify right side
    5,118.94x = 19,356,590.94
  5. Step 5: Solve for x
    x = 19,356,590.94/5,118.94
  6. Step 6: Final answer
    x = 3,781.37

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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.