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Finding the Fourth Proportional to 27,054.72, 40,548 and 12,259.20

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Solution

The fourth proportional to 27,054.72, 40,548 and 12,259.20 is: 18,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054.72 : 40,548 = 12,259.20 : x
  2. Step 2: Convert to fraction form
    27,054.72/40,548 = 12,259.20/x
  3. Step 3: Cross multiply
    27,054.72x = 40,548 × 12,259.20
  4. Step 4: Simplify right side
    27,054.72x = 497,086,041.60
  5. Step 5: Solve for x
    x = 497,086,041.60/27,054.72
  6. Step 6: Final answer
    x = 18,373.36

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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.