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Finding the Fourth Proportional to 27,117, 37,421.07 and 15,180.35

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Solution

The fourth proportional to 27,117, 37,421.07 and 15,180.35 is: 20,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,117 : 37,421.07 = 15,180.35 : x
  2. Step 2: Convert to fraction form
    27,117/37,421.07 = 15,180.35/x
  3. Step 3: Cross multiply
    27,117x = 37,421.07 × 15,180.35
  4. Step 4: Simplify right side
    27,117x = 568,064,752.87
  5. Step 5: Solve for x
    x = 568,064,752.87/27,117
  6. Step 6: Final answer
    x = 20,948.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.