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Finding the Fourth Proportional to 27,130, 40,695.72 and 8,662

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Solution

The fourth proportional to 27,130, 40,695.72 and 8,662 is: 12,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,130 : 40,695.72 = 8,662 : x
  2. Step 2: Convert to fraction form
    27,130/40,695.72 = 8,662/x
  3. Step 3: Cross multiply
    27,130x = 40,695.72 × 8,662
  4. Step 4: Simplify right side
    27,130x = 352,506,326.64
  5. Step 5: Solve for x
    x = 352,506,326.64/27,130
  6. Step 6: Final answer
    x = 12,993.23

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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.