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Finding the Fourth Proportional to 20,460.42, 30,697.11 and 7,312.50

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Solution

The fourth proportional to 20,460.42, 30,697.11 and 7,312.50 is: 10,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,460.42 : 30,697.11 = 7,312.50 : x
  2. Step 2: Convert to fraction form
    20,460.42/30,697.11 = 7,312.50/x
  3. Step 3: Cross multiply
    20,460.42x = 30,697.11 × 7,312.50
  4. Step 4: Simplify right side
    20,460.42x = 224,472,616.88
  5. Step 5: Solve for x
    x = 224,472,616.88/20,460.42
  6. Step 6: Final answer
    x = 10,971.07

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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.