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Finding the Fourth Proportional to 12,710.84, 19,060.86 and 6,865.88

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Solution

The fourth proportional to 12,710.84, 19,060.86 and 6,865.88 is: 10,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.84 : 19,060.86 = 6,865.88 : x
  2. Step 2: Convert to fraction form
    12,710.84/19,060.86 = 6,865.88/x
  3. Step 3: Cross multiply
    12,710.84x = 19,060.86 × 6,865.88
  4. Step 4: Simplify right side
    12,710.84x = 130,869,577.46
  5. Step 5: Solve for x
    x = 130,869,577.46/12,710.84
  6. Step 6: Final answer
    x = 10,295.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.