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Finding the Fourth Proportional to 20,506.79, 30,762.92 and 7,182.50

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Solution

The fourth proportional to 20,506.79, 30,762.92 and 7,182.50 is: 10,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.79 : 30,762.92 = 7,182.50 : x
  2. Step 2: Convert to fraction form
    20,506.79/30,762.92 = 7,182.50/x
  3. Step 3: Cross multiply
    20,506.79x = 30,762.92 × 7,182.50
  4. Step 4: Simplify right side
    20,506.79x = 220,954,537.04
  5. Step 5: Solve for x
    x = 220,954,537.04/20,506.79
  6. Step 6: Final answer
    x = 10,774.70

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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.