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Finding the Fourth Proportional to 13,432.65, 18,537.07 and 7,464.18

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Solution

The fourth proportional to 13,432.65, 18,537.07 and 7,464.18 is: 10,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.65 : 18,537.07 = 7,464.18 : x
  2. Step 2: Convert to fraction form
    13,432.65/18,537.07 = 7,464.18/x
  3. Step 3: Cross multiply
    13,432.65x = 18,537.07 × 7,464.18
  4. Step 4: Simplify right side
    13,432.65x = 138,364,027.15
  5. Step 5: Solve for x
    x = 138,364,027.15/13,432.65
  6. Step 6: Final answer
    x = 10,300.58

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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.