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Finding the Fourth Proportional to 19,821.59, 27,368.14 and 12,760.31

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Solution

The fourth proportional to 19,821.59, 27,368.14 and 12,760.31 is: 17,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.59 : 27,368.14 = 12,760.31 : x
  2. Step 2: Convert to fraction form
    19,821.59/27,368.14 = 12,760.31/x
  3. Step 3: Cross multiply
    19,821.59x = 27,368.14 × 12,760.31
  4. Step 4: Simplify right side
    19,821.59x = 349,225,951.94
  5. Step 5: Solve for x
    x = 349,225,951.94/19,821.59
  6. Step 6: Final answer
    x = 17,618.47

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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.