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Finding the Fourth Proportional to 27,470, 37,908.60 and 14,894.76

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Solution

The fourth proportional to 27,470, 37,908.60 and 14,894.76 is: 20,554.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470 : 37,908.60 = 14,894.76 : x
  2. Step 2: Convert to fraction form
    27,470/37,908.60 = 14,894.76/x
  3. Step 3: Cross multiply
    27,470x = 37,908.60 × 14,894.76
  4. Step 4: Simplify right side
    27,470x = 564,639,498.94
  5. Step 5: Solve for x
    x = 564,639,498.94/27,470
  6. Step 6: Final answer
    x = 20,554.77

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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.