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Finding the Fourth Proportional to 20,656.88, 30,974.76 and 7,506.16

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Solution

The fourth proportional to 20,656.88, 30,974.76 and 7,506.16 is: 11,255.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,656.88 : 30,974.76 = 7,506.16 : x
  2. Step 2: Convert to fraction form
    20,656.88/30,974.76 = 7,506.16/x
  3. Step 3: Cross multiply
    20,656.88x = 30,974.76 × 7,506.16
  4. Step 4: Simplify right side
    20,656.88x = 232,501,504.52
  5. Step 5: Solve for x
    x = 232,501,504.52/20,656.88
  6. Step 6: Final answer
    x = 11,255.40

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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.