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Finding the Fourth Proportional to 16,690.25, 23,030.25 and 9,974.45

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Solution

The fourth proportional to 16,690.25, 23,030.25 and 9,974.45 is: 13,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.25 : 23,030.25 = 9,974.45 : x
  2. Step 2: Convert to fraction form
    16,690.25/23,030.25 = 9,974.45/x
  3. Step 3: Cross multiply
    16,690.25x = 23,030.25 × 9,974.45
  4. Step 4: Simplify right side
    16,690.25x = 229,714,077.11
  5. Step 5: Solve for x
    x = 229,714,077.11/16,690.25
  6. Step 6: Final answer
    x = 13,763.37

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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.