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Finding the Fourth Proportional to 10,804.95, 14,876.90 and 9,186.68

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Solution

The fourth proportional to 10,804.95, 14,876.90 and 9,186.68 is: 12,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.95 : 14,876.90 = 9,186.68 : x
  2. Step 2: Convert to fraction form
    10,804.95/14,876.90 = 9,186.68/x
  3. Step 3: Cross multiply
    10,804.95x = 14,876.90 × 9,186.68
  4. Step 4: Simplify right side
    10,804.95x = 136,669,245.31
  5. Step 5: Solve for x
    x = 136,669,245.31/10,804.95
  6. Step 6: Final answer
    x = 12,648.76

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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.