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Finding the Fourth Proportional to 6,980.25, 9,628.42 and 4,590.50

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Solution

The fourth proportional to 6,980.25, 9,628.42 and 4,590.50 is: 6,332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.25 : 9,628.42 = 4,590.50 : x
  2. Step 2: Convert to fraction form
    6,980.25/9,628.42 = 4,590.50/x
  3. Step 3: Cross multiply
    6,980.25x = 9,628.42 × 4,590.50
  4. Step 4: Simplify right side
    6,980.25x = 44,199,262.01
  5. Step 5: Solve for x
    x = 44,199,262.01/6,980.25
  6. Step 6: Final answer
    x = 6,332.05

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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.