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Finding the Fourth Proportional to 35,305.43, 48,709.76 and 20,969.64

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Solution

The fourth proportional to 35,305.43, 48,709.76 and 20,969.64 is: 28,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,305.43 : 48,709.76 = 20,969.64 : x
  2. Step 2: Convert to fraction form
    35,305.43/48,709.76 = 20,969.64/x
  3. Step 3: Cross multiply
    35,305.43x = 48,709.76 × 20,969.64
  4. Step 4: Simplify right side
    35,305.43x = 1,021,426,026.84
  5. Step 5: Solve for x
    x = 1,021,426,026.84/35,305.43
  6. Step 6: Final answer
    x = 28,931.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.