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Finding the Fourth Proportional to 27,048, 40,544.64 and 12,987.48

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Solution

The fourth proportional to 27,048, 40,544.64 and 12,987.48 is: 19,468.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 40,544.64 = 12,987.48 : x
  2. Step 2: Convert to fraction form
    27,048/40,544.64 = 12,987.48/x
  3. Step 3: Cross multiply
    27,048x = 40,544.64 × 12,987.48
  4. Step 4: Simplify right side
    27,048x = 526,572,701.11
  5. Step 5: Solve for x
    x = 526,572,701.11/27,048
  6. Step 6: Final answer
    x = 19,468.08

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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.