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Finding the Fourth Proportional to 12,702.20, 19,053.30 and 9,786.20

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Solution

The fourth proportional to 12,702.20, 19,053.30 and 9,786.20 is: 14,679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.20 : 19,053.30 = 9,786.20 : x
  2. Step 2: Convert to fraction form
    12,702.20/19,053.30 = 9,786.20/x
  3. Step 3: Cross multiply
    12,702.20x = 19,053.30 × 9,786.20
  4. Step 4: Simplify right side
    12,702.20x = 186,459,404.46
  5. Step 5: Solve for x
    x = 186,459,404.46/12,702.20
  6. Step 6: Final answer
    x = 14,679.30

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1.5x scale

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.