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Finding the Fourth Proportional to 14,314.40, 19,753.92 and 7,941.44

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Solution

The fourth proportional to 14,314.40, 19,753.92 and 7,941.44 is: 10,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.40 : 19,753.92 = 7,941.44 : x
  2. Step 2: Convert to fraction form
    14,314.40/19,753.92 = 7,941.44/x
  3. Step 3: Cross multiply
    14,314.40x = 19,753.92 × 7,941.44
  4. Step 4: Simplify right side
    14,314.40x = 156,874,570.44
  5. Step 5: Solve for x
    x = 156,874,570.44/14,314.40
  6. Step 6: Final answer
    x = 10,959.21

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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.