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Finding the Fourth Proportional to 21,964.40, 32,903.40 and 20,409.20

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Solution

The fourth proportional to 21,964.40, 32,903.40 and 20,409.20 is: 30,573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964.40 : 32,903.40 = 20,409.20 : x
  2. Step 2: Convert to fraction form
    21,964.40/32,903.40 = 20,409.20/x
  3. Step 3: Cross multiply
    21,964.40x = 32,903.40 × 20,409.20
  4. Step 4: Simplify right side
    21,964.40x = 671,532,071.28
  5. Step 5: Solve for x
    x = 671,532,071.28/21,964.40
  6. Step 6: Final answer
    x = 30,573.66

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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.