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Finding the Fourth Proportional to 11,357.64, 15,677.82 and 6,643.44

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Solution

The fourth proportional to 11,357.64, 15,677.82 and 6,643.44 is: 9,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.64 : 15,677.82 = 6,643.44 : x
  2. Step 2: Convert to fraction form
    11,357.64/15,677.82 = 6,643.44/x
  3. Step 3: Cross multiply
    11,357.64x = 15,677.82 × 6,643.44
  4. Step 4: Simplify right side
    11,357.64x = 104,154,656.50
  5. Step 5: Solve for x
    x = 104,154,656.50/11,357.64
  6. Step 6: Final answer
    x = 9,170.45

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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.