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Finding the Fourth Proportional to 27,210.30, 40,815.72 and 8,235.09

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Solution

The fourth proportional to 27,210.30, 40,815.72 and 8,235.09 is: 12,352.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,210.30 : 40,815.72 = 8,235.09 : x
  2. Step 2: Convert to fraction form
    27,210.30/40,815.72 = 8,235.09/x
  3. Step 3: Cross multiply
    27,210.30x = 40,815.72 × 8,235.09
  4. Step 4: Simplify right side
    27,210.30x = 336,121,127.61
  5. Step 5: Solve for x
    x = 336,121,127.61/27,210.30
  6. Step 6: Final answer
    x = 12,352.72

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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.