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Finding the Fourth Proportional to 20,434.84, 30,626.22 and 9,347.56

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Solution

The fourth proportional to 20,434.84, 30,626.22 and 9,347.56 is: 14,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.84 : 30,626.22 = 9,347.56 : x
  2. Step 2: Convert to fraction form
    20,434.84/30,626.22 = 9,347.56/x
  3. Step 3: Cross multiply
    20,434.84x = 30,626.22 × 9,347.56
  4. Step 4: Simplify right side
    20,434.84x = 286,280,429.02
  5. Step 5: Solve for x
    x = 286,280,429.02/20,434.84
  6. Step 6: Final answer
    x = 14,009.43

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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.