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Finding the Fourth Proportional to 20,630.81, 30,956.76 and 9,823.77

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Solution

The fourth proportional to 20,630.81, 30,956.76 and 9,823.77 is: 14,740.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,630.81 : 30,956.76 = 9,823.77 : x
  2. Step 2: Convert to fraction form
    20,630.81/30,956.76 = 9,823.77/x
  3. Step 3: Cross multiply
    20,630.81x = 30,956.76 × 9,823.77
  4. Step 4: Simplify right side
    20,630.81x = 304,112,090.19
  5. Step 5: Solve for x
    x = 304,112,090.19/20,630.81
  6. Step 6: Final answer
    x = 14,740.68

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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.