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Finding the Fourth Proportional to 23,283, 34,908.84 and 8,490

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Solution

The fourth proportional to 23,283, 34,908.84 and 8,490 is: 12,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,283 : 34,908.84 = 8,490 : x
  2. Step 2: Convert to fraction form
    23,283/34,908.84 = 8,490/x
  3. Step 3: Cross multiply
    23,283x = 34,908.84 × 8,490
  4. Step 4: Simplify right side
    23,283x = 296,376,051.60
  5. Step 5: Solve for x
    x = 296,376,051.60/23,283
  6. Step 6: Final answer
    x = 12,729.29

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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.