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Finding the Fourth Proportional to 9,892.13, 13,657.82 and 6,309.09

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Solution

The fourth proportional to 9,892.13, 13,657.82 and 6,309.09 is: 8,710.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.13 : 13,657.82 = 6,309.09 : x
  2. Step 2: Convert to fraction form
    9,892.13/13,657.82 = 6,309.09/x
  3. Step 3: Cross multiply
    9,892.13x = 13,657.82 × 6,309.09
  4. Step 4: Simplify right side
    9,892.13x = 86,168,384.04
  5. Step 5: Solve for x
    x = 86,168,384.04/9,892.13
  6. Step 6: Final answer
    x = 8,710.81

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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.