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Finding the Fourth Proportional to 2,545.84, 3,819 and 790.86

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Solution

The fourth proportional to 2,545.84, 3,819 and 790.86 is: 1,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.84 : 3,819 = 790.86 : x
  2. Step 2: Convert to fraction form
    2,545.84/3,819 = 790.86/x
  3. Step 3: Cross multiply
    2,545.84x = 3,819 × 790.86
  4. Step 4: Simplify right side
    2,545.84x = 3,020,303.89
  5. Step 5: Solve for x
    x = 3,020,303.89/2,545.84
  6. Step 6: Final answer
    x = 1,186.37

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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.