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Finding the Fourth Proportional to 8,724, 12,039.12 and 4,947.24

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Solution

The fourth proportional to 8,724, 12,039.12 and 4,947.24 is: 6,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724 : 12,039.12 = 4,947.24 : x
  2. Step 2: Convert to fraction form
    8,724/12,039.12 = 4,947.24/x
  3. Step 3: Cross multiply
    8,724x = 12,039.12 × 4,947.24
  4. Step 4: Simplify right side
    8,724x = 59,560,416.03
  5. Step 5: Solve for x
    x = 59,560,416.03/8,724
  6. Step 6: Final answer
    x = 6,827.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.