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Finding the Fourth Proportional to 8,724.86, 12,048.84 and 7,458.56

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Solution

The fourth proportional to 8,724.86, 12,048.84 and 7,458.56 is: 10,300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.86 : 12,048.84 = 7,458.56 : x
  2. Step 2: Convert to fraction form
    8,724.86/12,048.84 = 7,458.56/x
  3. Step 3: Cross multiply
    8,724.86x = 12,048.84 × 7,458.56
  4. Step 4: Simplify right side
    8,724.86x = 89,866,996.07
  5. Step 5: Solve for x
    x = 89,866,996.07/8,724.86
  6. Step 6: Final answer
    x = 10,300.11

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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.