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Finding the Fourth Proportional to 13,432.77, 18,537.69 and 7,464.69

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Solution

The fourth proportional to 13,432.77, 18,537.69 and 7,464.69 is: 10,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.77 : 18,537.69 = 7,464.69 : x
  2. Step 2: Convert to fraction form
    13,432.77/18,537.69 = 7,464.69/x
  3. Step 3: Cross multiply
    13,432.77x = 18,537.69 × 7,464.69
  4. Step 4: Simplify right side
    13,432.77x = 138,378,071.84
  5. Step 5: Solve for x
    x = 138,378,071.84/13,432.77
  6. Step 6: Final answer
    x = 10,301.53

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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.