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Finding the Fourth Proportional to 11,298, 16,952.91 and 8,203.57

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Solution

The fourth proportional to 11,298, 16,952.91 and 8,203.57 is: 12,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298 : 16,952.91 = 8,203.57 : x
  2. Step 2: Convert to fraction form
    11,298/16,952.91 = 8,203.57/x
  3. Step 3: Cross multiply
    11,298x = 16,952.91 × 8,203.57
  4. Step 4: Simplify right side
    11,298x = 139,074,341.51
  5. Step 5: Solve for x
    x = 139,074,341.51/11,298
  6. Step 6: Final answer
    x = 12,309.64

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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.