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Finding the Fourth Proportional to 21,586.90, 32,369.32 and 9,890.10

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Solution

The fourth proportional to 21,586.90, 32,369.32 and 9,890.10 is: 14,830.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,586.90 : 32,369.32 = 9,890.10 : x
  2. Step 2: Convert to fraction form
    21,586.90/32,369.32 = 9,890.10/x
  3. Step 3: Cross multiply
    21,586.90x = 32,369.32 × 9,890.10
  4. Step 4: Simplify right side
    21,586.90x = 320,135,811.73
  5. Step 5: Solve for x
    x = 320,135,811.73/21,586.90
  6. Step 6: Final answer
    x = 14,830.10

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1.5x scale

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.