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Finding the Fourth Proportional to 4,642.19, 6,978.35 and 3,727.76

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Solution

The fourth proportional to 4,642.19, 6,978.35 and 3,727.76 is: 5,603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.19 : 6,978.35 = 3,727.76 : x
  2. Step 2: Convert to fraction form
    4,642.19/6,978.35 = 3,727.76/x
  3. Step 3: Cross multiply
    4,642.19x = 6,978.35 × 3,727.76
  4. Step 4: Simplify right side
    4,642.19x = 26,013,595.36
  5. Step 5: Solve for x
    x = 26,013,595.36/4,642.19
  6. Step 6: Final answer
    x = 5,603.73

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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.