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Finding the Fourth Proportional to 22,085.99, 30,478.11 and 12,653.94

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Solution

The fourth proportional to 22,085.99, 30,478.11 and 12,653.94 is: 17,462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.99 : 30,478.11 = 12,653.94 : x
  2. Step 2: Convert to fraction form
    22,085.99/30,478.11 = 12,653.94/x
  3. Step 3: Cross multiply
    22,085.99x = 30,478.11 × 12,653.94
  4. Step 4: Simplify right side
    22,085.99x = 385,668,175.25
  5. Step 5: Solve for x
    x = 385,668,175.25/22,085.99
  6. Step 6: Final answer
    x = 17,462.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.