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Finding the Fourth Proportional to 5,068.30, 7,601.62 and 1,780.62

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Solution

The fourth proportional to 5,068.30, 7,601.62 and 1,780.62 is: 2,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.30 : 7,601.62 = 1,780.62 : x
  2. Step 2: Convert to fraction form
    5,068.30/7,601.62 = 1,780.62/x
  3. Step 3: Cross multiply
    5,068.30x = 7,601.62 × 1,780.62
  4. Step 4: Simplify right side
    5,068.30x = 13,535,585.03
  5. Step 5: Solve for x
    x = 13,535,585.03/5,068.30
  6. Step 6: Final answer
    x = 2,670.64

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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.