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Finding the Fourth Proportional to 21,153.80, 31,732.80 and 7,830.35

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Solution

The fourth proportional to 21,153.80, 31,732.80 and 7,830.35 is: 11,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.80 : 31,732.80 = 7,830.35 : x
  2. Step 2: Convert to fraction form
    21,153.80/31,732.80 = 7,830.35/x
  3. Step 3: Cross multiply
    21,153.80x = 31,732.80 × 7,830.35
  4. Step 4: Simplify right side
    21,153.80x = 248,479,006.05
  5. Step 5: Solve for x
    x = 248,479,006.05/21,153.80
  6. Step 6: Final answer
    x = 11,746.31

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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.