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Finding the Fourth Proportional to 12,109.40, 16,710.84 and 6,804.20

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Solution

The fourth proportional to 12,109.40, 16,710.84 and 6,804.20 is: 9,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.40 : 16,710.84 = 6,804.20 : x
  2. Step 2: Convert to fraction form
    12,109.40/16,710.84 = 6,804.20/x
  3. Step 3: Cross multiply
    12,109.40x = 16,710.84 × 6,804.20
  4. Step 4: Simplify right side
    12,109.40x = 113,703,897.53
  5. Step 5: Solve for x
    x = 113,703,897.53/12,109.40
  6. Step 6: Final answer
    x = 9,389.72

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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.