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Finding the Fourth Proportional to 34,080, 51,122.88 and 9,456

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Solution

The fourth proportional to 34,080, 51,122.88 and 9,456 is: 14,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,080 : 51,122.88 = 9,456 : x
  2. Step 2: Convert to fraction form
    34,080/51,122.88 = 9,456/x
  3. Step 3: Cross multiply
    34,080x = 51,122.88 × 9,456
  4. Step 4: Simplify right side
    34,080x = 483,417,953.28
  5. Step 5: Solve for x
    x = 483,417,953.28/34,080
  6. Step 6: Final answer
    x = 14,184.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.