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Finding the Fourth Proportional to 21,705.40, 32,558.10 and 21,219.40

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Solution

The fourth proportional to 21,705.40, 32,558.10 and 21,219.40 is: 31,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,705.40 : 32,558.10 = 21,219.40 : x
  2. Step 2: Convert to fraction form
    21,705.40/32,558.10 = 21,219.40/x
  3. Step 3: Cross multiply
    21,705.40x = 32,558.10 × 21,219.40
  4. Step 4: Simplify right side
    21,705.40x = 690,863,347.14
  5. Step 5: Solve for x
    x = 690,863,347.14/21,705.40
  6. Step 6: Final answer
    x = 31,829.10

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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.