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Finding the Fourth Proportional to 27,464, 37,900.40 and 14,888.80

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Solution

The fourth proportional to 27,464, 37,900.40 and 14,888.80 is: 20,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464 : 37,900.40 = 14,888.80 : x
  2. Step 2: Convert to fraction form
    27,464/37,900.40 = 14,888.80/x
  3. Step 3: Cross multiply
    27,464x = 37,900.40 × 14,888.80
  4. Step 4: Simplify right side
    27,464x = 564,291,475.52
  5. Step 5: Solve for x
    x = 564,291,475.52/27,464
  6. Step 6: Final answer
    x = 20,546.59

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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.