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Finding the Fourth Proportional to 9,645, 13,310.91 and 6,106.92

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Solution

The fourth proportional to 9,645, 13,310.91 and 6,106.92 is: 8,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645 : 13,310.91 = 6,106.92 : x
  2. Step 2: Convert to fraction form
    9,645/13,310.91 = 6,106.92/x
  3. Step 3: Cross multiply
    9,645x = 13,310.91 × 6,106.92
  4. Step 4: Simplify right side
    9,645x = 81,288,662.50
  5. Step 5: Solve for x
    x = 81,288,662.50/9,645
  6. Step 6: Final answer
    x = 8,428.06

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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.