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Finding the Fourth Proportional to 21,653.62, 32,495.01 and 9,810.61

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Solution

The fourth proportional to 21,653.62, 32,495.01 and 9,810.61 is: 14,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,653.62 : 32,495.01 = 9,810.61 : x
  2. Step 2: Convert to fraction form
    21,653.62/32,495.01 = 9,810.61/x
  3. Step 3: Cross multiply
    21,653.62x = 32,495.01 × 9,810.61
  4. Step 4: Simplify right side
    21,653.62x = 318,795,870.06
  5. Step 5: Solve for x
    x = 318,795,870.06/21,653.62
  6. Step 6: Final answer
    x = 14,722.52

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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.