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Finding the Fourth Proportional to 20,304.68, 30,461.94 and 7,826.28

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Solution

The fourth proportional to 20,304.68, 30,461.94 and 7,826.28 is: 11,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.68 : 30,461.94 = 7,826.28 : x
  2. Step 2: Convert to fraction form
    20,304.68/30,461.94 = 7,826.28/x
  3. Step 3: Cross multiply
    20,304.68x = 30,461.94 × 7,826.28
  4. Step 4: Simplify right side
    20,304.68x = 238,403,671.78
  5. Step 5: Solve for x
    x = 238,403,671.78/20,304.68
  6. Step 6: Final answer
    x = 11,741.32

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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.