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Finding the Fourth Proportional to 21,959.94, 32,912.32 and 9,465.34

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Solution

The fourth proportional to 21,959.94, 32,912.32 and 9,465.34 is: 14,186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959.94 : 32,912.32 = 9,465.34 : x
  2. Step 2: Convert to fraction form
    21,959.94/32,912.32 = 9,465.34/x
  3. Step 3: Cross multiply
    21,959.94x = 32,912.32 × 9,465.34
  4. Step 4: Simplify right side
    21,959.94x = 311,526,298.99
  5. Step 5: Solve for x
    x = 311,526,298.99/21,959.94
  6. Step 6: Final answer
    x = 14,186.12

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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.