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Finding the Fourth Proportional to 34,098, 51,130.88 and 11,908.72

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Solution

The fourth proportional to 34,098, 51,130.88 and 11,908.72 is: 17,857.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098 : 51,130.88 = 11,908.72 : x
  2. Step 2: Convert to fraction form
    34,098/51,130.88 = 11,908.72/x
  3. Step 3: Cross multiply
    34,098x = 51,130.88 × 11,908.72
  4. Step 4: Simplify right side
    34,098x = 608,903,333.27
  5. Step 5: Solve for x
    x = 608,903,333.27/34,098
  6. Step 6: Final answer
    x = 17,857.45

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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.