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Finding the Fourth Proportional to 21,605.40, 32,408.10 and 21,119.40

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Solution

The fourth proportional to 21,605.40, 32,408.10 and 21,119.40 is: 31,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.40 : 32,408.10 = 21,119.40 : x
  2. Step 2: Convert to fraction form
    21,605.40/32,408.10 = 21,119.40/x
  3. Step 3: Cross multiply
    21,605.40x = 32,408.10 × 21,119.40
  4. Step 4: Simplify right side
    21,605.40x = 684,439,627.14
  5. Step 5: Solve for x
    x = 684,439,627.14/21,605.40
  6. Step 6: Final answer
    x = 31,679.10

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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.