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Finding the Fourth Proportional to 35,429.50, 53,144.04 and 9,134.20

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Solution

The fourth proportional to 35,429.50, 53,144.04 and 9,134.20 is: 13,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,429.50 : 53,144.04 = 9,134.20 : x
  2. Step 2: Convert to fraction form
    35,429.50/53,144.04 = 9,134.20/x
  3. Step 3: Cross multiply
    35,429.50x = 53,144.04 × 9,134.20
  4. Step 4: Simplify right side
    35,429.50x = 485,428,290.17
  5. Step 5: Solve for x
    x = 485,428,290.17/35,429.50
  6. Step 6: Final answer
    x = 13,701.25

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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.