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Finding the Fourth Proportional to 21,585.90, 32,367.82 and 9,889.10

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Solution

The fourth proportional to 21,585.90, 32,367.82 and 9,889.10 is: 14,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,585.90 : 32,367.82 = 9,889.10 : x
  2. Step 2: Convert to fraction form
    21,585.90/32,367.82 = 9,889.10/x
  3. Step 3: Cross multiply
    21,585.90x = 32,367.82 × 9,889.10
  4. Step 4: Simplify right side
    21,585.90x = 320,088,608.76
  5. Step 5: Solve for x
    x = 320,088,608.76/21,585.90
  6. Step 6: Final answer
    x = 14,828.60

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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.