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Finding the Fourth Proportional to 4,590.50, 6,332 and 3,661.22

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Solution

The fourth proportional to 4,590.50, 6,332 and 3,661.22 is: 5,050.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.50 : 6,332 = 3,661.22 : x
  2. Step 2: Convert to fraction form
    4,590.50/6,332 = 3,661.22/x
  3. Step 3: Cross multiply
    4,590.50x = 6,332 × 3,661.22
  4. Step 4: Simplify right side
    4,590.50x = 23,182,845.04
  5. Step 5: Solve for x
    x = 23,182,845.04/4,590.50
  6. Step 6: Final answer
    x = 5,050.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.