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Finding the Fourth Proportional to 12,580, 18,878.64 and 4,372

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Solution

The fourth proportional to 12,580, 18,878.64 and 4,372 is: 6,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,580 : 18,878.64 = 4,372 : x
  2. Step 2: Convert to fraction form
    12,580/18,878.64 = 4,372/x
  3. Step 3: Cross multiply
    12,580x = 18,878.64 × 4,372
  4. Step 4: Simplify right side
    12,580x = 82,537,414.08
  5. Step 5: Solve for x
    x = 82,537,414.08/12,580
  6. Step 6: Final answer
    x = 6,561.00

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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.