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Finding the Fourth Proportional to 34,142, 51,213.36 and 9,518

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Solution

The fourth proportional to 34,142, 51,213.36 and 9,518 is: 14,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,142 : 51,213.36 = 9,518 : x
  2. Step 2: Convert to fraction form
    34,142/51,213.36 = 9,518/x
  3. Step 3: Cross multiply
    34,142x = 51,213.36 × 9,518
  4. Step 4: Simplify right side
    34,142x = 487,448,760.48
  5. Step 5: Solve for x
    x = 487,448,760.48/34,142
  6. Step 6: Final answer
    x = 14,277.10

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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.