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Finding the Fourth Proportional to 21,309.67, 31,968.08 and 6,515.12

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Solution

The fourth proportional to 21,309.67, 31,968.08 and 6,515.12 is: 9,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.67 : 31,968.08 = 6,515.12 : x
  2. Step 2: Convert to fraction form
    21,309.67/31,968.08 = 6,515.12/x
  3. Step 3: Cross multiply
    21,309.67x = 31,968.08 × 6,515.12
  4. Step 4: Simplify right side
    21,309.67x = 208,275,913.35
  5. Step 5: Solve for x
    x = 208,275,913.35/21,309.67
  6. Step 6: Final answer
    x = 9,773.77

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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.