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Finding the Fourth Proportional to 12,764.84, 17,602.65 and 8,515.98

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Solution

The fourth proportional to 12,764.84, 17,602.65 and 8,515.98 is: 11,743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,764.84 : 17,602.65 = 8,515.98 : x
  2. Step 2: Convert to fraction form
    12,764.84/17,602.65 = 8,515.98/x
  3. Step 3: Cross multiply
    12,764.84x = 17,602.65 × 8,515.98
  4. Step 4: Simplify right side
    12,764.84x = 149,903,815.35
  5. Step 5: Solve for x
    x = 149,903,815.35/12,764.84
  6. Step 6: Final answer
    x = 11,743.50

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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.