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Finding the Fourth Proportional to 11,424.85, 15,764.85 and 6,646.09

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Solution

The fourth proportional to 11,424.85, 15,764.85 and 6,646.09 is: 9,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.85 : 15,764.85 = 6,646.09 : x
  2. Step 2: Convert to fraction form
    11,424.85/15,764.85 = 6,646.09/x
  3. Step 3: Cross multiply
    11,424.85x = 15,764.85 × 6,646.09
  4. Step 4: Simplify right side
    11,424.85x = 104,774,598.61
  5. Step 5: Solve for x
    x = 104,774,598.61/11,424.85
  6. Step 6: Final answer
    x = 9,170.76

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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.