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Finding the Fourth Proportional to 21,512.40, 32,257.80 and 9,812.40

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Solution

The fourth proportional to 21,512.40, 32,257.80 and 9,812.40 is: 14,713.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,512.40 : 32,257.80 = 9,812.40 : x
  2. Step 2: Convert to fraction form
    21,512.40/32,257.80 = 9,812.40/x
  3. Step 3: Cross multiply
    21,512.40x = 32,257.80 × 9,812.40
  4. Step 4: Simplify right side
    21,512.40x = 316,526,436.72
  5. Step 5: Solve for x
    x = 316,526,436.72/21,512.40
  6. Step 6: Final answer
    x = 14,713.67

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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.