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Finding the Fourth Proportional to 8,965.65, 12,374.69 and 5,191.04

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Solution

The fourth proportional to 8,965.65, 12,374.69 and 5,191.04 is: 7,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.65 : 12,374.69 = 5,191.04 : x
  2. Step 2: Convert to fraction form
    8,965.65/12,374.69 = 5,191.04/x
  3. Step 3: Cross multiply
    8,965.65x = 12,374.69 × 5,191.04
  4. Step 4: Simplify right side
    8,965.65x = 64,237,475.35
  5. Step 5: Solve for x
    x = 64,237,475.35/8,965.65
  6. Step 6: Final answer
    x = 7,164.84

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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.