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Finding the Fourth Proportional to 19,562.40, 27,000 and 12,849.12

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Solution

The fourth proportional to 19,562.40, 27,000 and 12,849.12 is: 17,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,562.40 : 27,000 = 12,849.12 : x
  2. Step 2: Convert to fraction form
    19,562.40/27,000 = 12,849.12/x
  3. Step 3: Cross multiply
    19,562.40x = 27,000 × 12,849.12
  4. Step 4: Simplify right side
    19,562.40x = 346,926,240
  5. Step 5: Solve for x
    x = 346,926,240/19,562.40
  6. Step 6: Final answer
    x = 17,734.34

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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.