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Finding the Fourth Proportional to 11,071.80, 16,596.90 and 9,905.40

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Solution

The fourth proportional to 11,071.80, 16,596.90 and 9,905.40 is: 14,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,071.80 : 16,596.90 = 9,905.40 : x
  2. Step 2: Convert to fraction form
    11,071.80/16,596.90 = 9,905.40/x
  3. Step 3: Cross multiply
    11,071.80x = 16,596.90 × 9,905.40
  4. Step 4: Simplify right side
    11,071.80x = 164,398,933.26
  5. Step 5: Solve for x
    x = 164,398,933.26/11,071.80
  6. Step 6: Final answer
    x = 14,848.44

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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.