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Finding the Fourth Proportional to 21,085.14, 31,620.99 and 8,605.14

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Solution

The fourth proportional to 21,085.14, 31,620.99 and 8,605.14 is: 12,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.14 : 31,620.99 = 8,605.14 : x
  2. Step 2: Convert to fraction form
    21,085.14/31,620.99 = 8,605.14/x
  3. Step 3: Cross multiply
    21,085.14x = 31,620.99 × 8,605.14
  4. Step 4: Simplify right side
    21,085.14x = 272,103,045.89
  5. Step 5: Solve for x
    x = 272,103,045.89/21,085.14
  6. Step 6: Final answer
    x = 12,904.97

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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.