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Finding the Fourth Proportional to 27,116, 37,417.92 and 15,178.76

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Solution

The fourth proportional to 27,116, 37,417.92 and 15,178.76 is: 20,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,116 : 37,417.92 = 15,178.76 : x
  2. Step 2: Convert to fraction form
    27,116/37,417.92 = 15,178.76/x
  3. Step 3: Cross multiply
    27,116x = 37,417.92 × 15,178.76
  4. Step 4: Simplify right side
    27,116x = 567,957,627.38
  5. Step 5: Solve for x
    x = 567,957,627.38/27,116
  6. Step 6: Final answer
    x = 20,945.48

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1.5x scale

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.