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Finding the Fourth Proportional to 21,986.70, 32,980.05 and 21,209.10

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Solution

The fourth proportional to 21,986.70, 32,980.05 and 21,209.10 is: 31,813.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.70 : 32,980.05 = 21,209.10 : x
  2. Step 2: Convert to fraction form
    21,986.70/32,980.05 = 21,209.10/x
  3. Step 3: Cross multiply
    21,986.70x = 32,980.05 × 21,209.10
  4. Step 4: Simplify right side
    21,986.70x = 699,477,178.46
  5. Step 5: Solve for x
    x = 699,477,178.46/21,986.70
  6. Step 6: Final answer
    x = 31,813.65

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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.