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Finding the Fourth Proportional to 8,724.56, 12,038 and 4,947.28

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Solution

The fourth proportional to 8,724.56, 12,038 and 4,947.28 is: 6,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.56 : 12,038 = 4,947.28 : x
  2. Step 2: Convert to fraction form
    8,724.56/12,038 = 4,947.28/x
  3. Step 3: Cross multiply
    8,724.56x = 12,038 × 4,947.28
  4. Step 4: Simplify right side
    8,724.56x = 59,555,356.64
  5. Step 5: Solve for x
    x = 59,555,356.64/8,724.56
  6. Step 6: Final answer
    x = 6,826.17

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1.5x scale

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.