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Finding the Fourth Proportional to 10,810.25, 14,922.19 and 8,415.48

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Solution

The fourth proportional to 10,810.25, 14,922.19 and 8,415.48 is: 11,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.25 : 14,922.19 = 8,415.48 : x
  2. Step 2: Convert to fraction form
    10,810.25/14,922.19 = 8,415.48/x
  3. Step 3: Cross multiply
    10,810.25x = 14,922.19 × 8,415.48
  4. Step 4: Simplify right side
    10,810.25x = 125,577,391.50
  5. Step 5: Solve for x
    x = 125,577,391.50/10,810.25
  6. Step 6: Final answer
    x = 11,616.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.