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Finding the Fourth Proportional to 4,938.83, 7,385.76 and 3,690.30

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Solution

The fourth proportional to 4,938.83, 7,385.76 and 3,690.30 is: 5,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.83 : 7,385.76 = 3,690.30 : x
  2. Step 2: Convert to fraction form
    4,938.83/7,385.76 = 3,690.30/x
  3. Step 3: Cross multiply
    4,938.83x = 7,385.76 × 3,690.30
  4. Step 4: Simplify right side
    4,938.83x = 27,255,670.13
  5. Step 5: Solve for x
    x = 27,255,670.13/4,938.83
  6. Step 6: Final answer
    x = 5,518.65

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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.