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Finding the Fourth Proportional to 21,057, 31,585.50 and 6,465

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Solution

The fourth proportional to 21,057, 31,585.50 and 6,465 is: 9,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057 : 31,585.50 = 6,465 : x
  2. Step 2: Convert to fraction form
    21,057/31,585.50 = 6,465/x
  3. Step 3: Cross multiply
    21,057x = 31,585.50 × 6,465
  4. Step 4: Simplify right side
    21,057x = 204,200,257.50
  5. Step 5: Solve for x
    x = 204,200,257.50/21,057
  6. Step 6: Final answer
    x = 9,697.50

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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.