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Finding the Fourth Proportional to 11,362.68, 15,676.74 and 6,643.62

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Solution

The fourth proportional to 11,362.68, 15,676.74 and 6,643.62 is: 9,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,362.68 : 15,676.74 = 6,643.62 : x
  2. Step 2: Convert to fraction form
    11,362.68/15,676.74 = 6,643.62/x
  3. Step 3: Cross multiply
    11,362.68x = 15,676.74 × 6,643.62
  4. Step 4: Simplify right side
    11,362.68x = 104,150,303.40
  5. Step 5: Solve for x
    x = 104,150,303.40/11,362.68
  6. Step 6: Final answer
    x = 9,166.00

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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.