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Finding the Fourth Proportional to 35,449.31, 53,173.80 and 10,489.51

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Solution

The fourth proportional to 35,449.31, 53,173.80 and 10,489.51 is: 15,734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,449.31 : 53,173.80 = 10,489.51 : x
  2. Step 2: Convert to fraction form
    35,449.31/53,173.80 = 10,489.51/x
  3. Step 3: Cross multiply
    35,449.31x = 53,173.80 × 10,489.51
  4. Step 4: Simplify right side
    35,449.31x = 557,767,106.84
  5. Step 5: Solve for x
    x = 557,767,106.84/35,449.31
  6. Step 6: Final answer
    x = 15,734.22

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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.