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Finding the Fourth Proportional to 20,561.70, 30,842.55 and 7,415.40

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Solution

The fourth proportional to 20,561.70, 30,842.55 and 7,415.40 is: 11,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.70 : 30,842.55 = 7,415.40 : x
  2. Step 2: Convert to fraction form
    20,561.70/30,842.55 = 7,415.40/x
  3. Step 3: Cross multiply
    20,561.70x = 30,842.55 × 7,415.40
  4. Step 4: Simplify right side
    20,561.70x = 228,709,845.27
  5. Step 5: Solve for x
    x = 228,709,845.27/20,561.70
  6. Step 6: Final answer
    x = 11,123.10

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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.