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Finding the Fourth Proportional to 20,435.74, 30,646.95 and 6,581.50

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Solution

The fourth proportional to 20,435.74, 30,646.95 and 6,581.50 is: 9,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.74 : 30,646.95 = 6,581.50 : x
  2. Step 2: Convert to fraction form
    20,435.74/30,646.95 = 6,581.50/x
  3. Step 3: Cross multiply
    20,435.74x = 30,646.95 × 6,581.50
  4. Step 4: Simplify right side
    20,435.74x = 201,702,901.43
  5. Step 5: Solve for x
    x = 201,702,901.43/20,435.74
  6. Step 6: Final answer
    x = 9,870.11

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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.