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Finding the Fourth Proportional to 35,310, 52,965.12 and 10,686

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Solution

The fourth proportional to 35,310, 52,965.12 and 10,686 is: 16,029.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,310 : 52,965.12 = 10,686 : x
  2. Step 2: Convert to fraction form
    35,310/52,965.12 = 10,686/x
  3. Step 3: Cross multiply
    35,310x = 52,965.12 × 10,686
  4. Step 4: Simplify right side
    35,310x = 565,985,272.32
  5. Step 5: Solve for x
    x = 565,985,272.32/35,310
  6. Step 6: Final answer
    x = 16,029.04

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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.