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Finding the Fourth Proportional to 8,499.84, 12,750.12 and 5,210.88

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Solution

The fourth proportional to 8,499.84, 12,750.12 and 5,210.88 is: 7,816.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.84 : 12,750.12 = 5,210.88 : x
  2. Step 2: Convert to fraction form
    8,499.84/12,750.12 = 5,210.88/x
  3. Step 3: Cross multiply
    8,499.84x = 12,750.12 × 5,210.88
  4. Step 4: Simplify right side
    8,499.84x = 66,439,345.31
  5. Step 5: Solve for x
    x = 66,439,345.31/8,499.84
  6. Step 6: Final answer
    x = 7,816.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.