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Finding the Fourth Proportional to 34,080, 47,033.28 and 19,178.88

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Solution

The fourth proportional to 34,080, 47,033.28 and 19,178.88 is: 26,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080 : 47,033.28 = 19,178.88 : x
  2. Step 2: Convert to fraction form
    34,080/47,033.28 = 19,178.88/x
  3. Step 3: Cross multiply
    34,080x = 47,033.28 × 19,178.88
  4. Step 4: Simplify right side
    34,080x = 902,045,633.13
  5. Step 5: Solve for x
    x = 902,045,633.13/34,080
  6. Step 6: Final answer
    x = 26,468.48

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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.