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Finding the Fourth Proportional to 27,321, 37,703.72 and 15,384.78

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Solution

The fourth proportional to 27,321, 37,703.72 and 15,384.78 is: 21,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321 : 37,703.72 = 15,384.78 : x
  2. Step 2: Convert to fraction form
    27,321/37,703.72 = 15,384.78/x
  3. Step 3: Cross multiply
    27,321x = 37,703.72 × 15,384.78
  4. Step 4: Simplify right side
    27,321x = 580,063,360.46
  5. Step 5: Solve for x
    x = 580,063,360.46/27,321
  6. Step 6: Final answer
    x = 21,231.41

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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.