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Finding the Fourth Proportional to 27,393, 37,802.36 and 15,458.88

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Solution

The fourth proportional to 27,393, 37,802.36 and 15,458.88 is: 21,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,393 : 37,802.36 = 15,458.88 : x
  2. Step 2: Convert to fraction form
    27,393/37,802.36 = 15,458.88/x
  3. Step 3: Cross multiply
    27,393x = 37,802.36 × 15,458.88
  4. Step 4: Simplify right side
    27,393x = 584,382,146.96
  5. Step 5: Solve for x
    x = 584,382,146.96/27,393
  6. Step 6: Final answer
    x = 21,333.27

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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.