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Finding the Fourth Proportional to 21,207, 31,810.62 and 9,517.34

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Solution

The fourth proportional to 21,207, 31,810.62 and 9,517.34 is: 14,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207 : 31,810.62 = 9,517.34 : x
  2. Step 2: Convert to fraction form
    21,207/31,810.62 = 9,517.34/x
  3. Step 3: Cross multiply
    21,207x = 31,810.62 × 9,517.34
  4. Step 4: Simplify right side
    21,207x = 302,752,486.15
  5. Step 5: Solve for x
    x = 302,752,486.15/21,207
  6. Step 6: Final answer
    x = 14,276.06

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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.