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Finding the Fourth Proportional to 21,303.57, 31,954.02 and 6,511.14

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Solution

The fourth proportional to 21,303.57, 31,954.02 and 6,511.14 is: 9,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,303.57 : 31,954.02 = 6,511.14 : x
  2. Step 2: Convert to fraction form
    21,303.57/31,954.02 = 6,511.14/x
  3. Step 3: Cross multiply
    21,303.57x = 31,954.02 × 6,511.14
  4. Step 4: Simplify right side
    21,303.57x = 208,057,097.78
  5. Step 5: Solve for x
    x = 208,057,097.78/21,303.57
  6. Step 6: Final answer
    x = 9,766.30

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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.