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Finding the Fourth Proportional to 8,641.64, 12,964.98 and 2,798.12

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Solution

The fourth proportional to 8,641.64, 12,964.98 and 2,798.12 is: 4,198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.64 : 12,964.98 = 2,798.12 : x
  2. Step 2: Convert to fraction form
    8,641.64/12,964.98 = 2,798.12/x
  3. Step 3: Cross multiply
    8,641.64x = 12,964.98 × 2,798.12
  4. Step 4: Simplify right side
    8,641.64x = 36,277,569.84
  5. Step 5: Solve for x
    x = 36,277,569.84/8,641.64
  6. Step 6: Final answer
    x = 4,198.00

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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.