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Finding the Fourth Proportional to 35,534, 49,038.50 and 20,431.56

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Solution

The fourth proportional to 35,534, 49,038.50 and 20,431.56 is: 28,196.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534 : 49,038.50 = 20,431.56 : x
  2. Step 2: Convert to fraction form
    35,534/49,038.50 = 20,431.56/x
  3. Step 3: Cross multiply
    35,534x = 49,038.50 × 20,431.56
  4. Step 4: Simplify right side
    35,534x = 1,001,933,055.06
  5. Step 5: Solve for x
    x = 1,001,933,055.06/35,534
  6. Step 6: Final answer
    x = 28,196.46

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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.