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Finding the Fourth Proportional to 4,590.90, 6,886.14 and 3,200.12

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Solution

The fourth proportional to 4,590.90, 6,886.14 and 3,200.12 is: 4,800.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.90 : 6,886.14 = 3,200.12 : x
  2. Step 2: Convert to fraction form
    4,590.90/6,886.14 = 3,200.12/x
  3. Step 3: Cross multiply
    4,590.90x = 6,886.14 × 3,200.12
  4. Step 4: Simplify right side
    4,590.90x = 22,036,474.34
  5. Step 5: Solve for x
    x = 22,036,474.34/4,590.90
  6. Step 6: Final answer
    x = 4,800.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.