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Finding the Fourth Proportional to 12,182.94, 18,259.65 and 5,160.24

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Solution

The fourth proportional to 12,182.94, 18,259.65 and 5,160.24 is: 7,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.94 : 18,259.65 = 5,160.24 : x
  2. Step 2: Convert to fraction form
    12,182.94/18,259.65 = 5,160.24/x
  3. Step 3: Cross multiply
    12,182.94x = 18,259.65 × 5,160.24
  4. Step 4: Simplify right side
    12,182.94x = 94,224,176.32
  5. Step 5: Solve for x
    x = 94,224,176.32/12,182.94
  6. Step 6: Final answer
    x = 7,734.11

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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.