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Finding the Fourth Proportional to 21,935, 32,905.92 and 7,140.42

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Solution

The fourth proportional to 21,935, 32,905.92 and 7,140.42 is: 10,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,935 : 32,905.92 = 7,140.42 : x
  2. Step 2: Convert to fraction form
    21,935/32,905.92 = 7,140.42/x
  3. Step 3: Cross multiply
    21,935x = 32,905.92 × 7,140.42
  4. Step 4: Simplify right side
    21,935x = 234,962,089.29
  5. Step 5: Solve for x
    x = 234,962,089.29/21,935
  6. Step 6: Final answer
    x = 10,711.74

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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.