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Finding the Fourth Proportional to 35,605.21, 53,410.86 and 9,309.91

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Solution

The fourth proportional to 35,605.21, 53,410.86 and 9,309.91 is: 13,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.21 : 53,410.86 = 9,309.91 : x
  2. Step 2: Convert to fraction form
    35,605.21/53,410.86 = 9,309.91/x
  3. Step 3: Cross multiply
    35,605.21x = 53,410.86 × 9,309.91
  4. Step 4: Simplify right side
    35,605.21x = 497,250,142.82
  5. Step 5: Solve for x
    x = 497,250,142.82/35,605.21
  6. Step 6: Final answer
    x = 13,965.66

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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.