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Finding the Fourth Proportional to 21,536.76, 32,305.15 and 9,841.78

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Solution

The fourth proportional to 21,536.76, 32,305.15 and 9,841.78 is: 14,762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,536.76 : 32,305.15 = 9,841.78 : x
  2. Step 2: Convert to fraction form
    21,536.76/32,305.15 = 9,841.78/x
  3. Step 3: Cross multiply
    21,536.76x = 32,305.15 × 9,841.78
  4. Step 4: Simplify right side
    21,536.76x = 317,940,176.49
  5. Step 5: Solve for x
    x = 317,940,176.49/21,536.76
  6. Step 6: Final answer
    x = 14,762.67

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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.