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Finding the Fourth Proportional to 35,502, 53,253.96 and 10,878

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Solution

The fourth proportional to 35,502, 53,253.96 and 10,878 is: 16,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,502 : 53,253.96 = 10,878 : x
  2. Step 2: Convert to fraction form
    35,502/53,253.96 = 10,878/x
  3. Step 3: Cross multiply
    35,502x = 53,253.96 × 10,878
  4. Step 4: Simplify right side
    35,502x = 579,296,576.88
  5. Step 5: Solve for x
    x = 579,296,576.88/35,502
  6. Step 6: Final answer
    x = 16,317.29

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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.