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Finding the Fourth Proportional to 21,070.84, 31,605.90 and 7,744.84

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Solution

The fourth proportional to 21,070.84, 31,605.90 and 7,744.84 is: 11,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070.84 : 31,605.90 = 7,744.84 : x
  2. Step 2: Convert to fraction form
    21,070.84/31,605.90 = 7,744.84/x
  3. Step 3: Cross multiply
    21,070.84x = 31,605.90 × 7,744.84
  4. Step 4: Simplify right side
    21,070.84x = 244,782,638.56
  5. Step 5: Solve for x
    x = 244,782,638.56/21,070.84
  6. Step 6: Final answer
    x = 11,617.13

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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.