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Finding the Fourth Proportional to 11,235, 16,854.94 and 4,309.50

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Solution

The fourth proportional to 11,235, 16,854.94 and 4,309.50 is: 6,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235 : 16,854.94 = 4,309.50 : x
  2. Step 2: Convert to fraction form
    11,235/16,854.94 = 4,309.50/x
  3. Step 3: Cross multiply
    11,235x = 16,854.94 × 4,309.50
  4. Step 4: Simplify right side
    11,235x = 72,636,363.93
  5. Step 5: Solve for x
    x = 72,636,363.93/11,235
  6. Step 6: Final answer
    x = 6,465.19

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1.5x scale

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.