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Finding the Fourth Proportional to 19,970.78, 27,551.13 and 12,008.30

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Solution

The fourth proportional to 19,970.78, 27,551.13 and 12,008.30 is: 16,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,970.78 : 27,551.13 = 12,008.30 : x
  2. Step 2: Convert to fraction form
    19,970.78/27,551.13 = 12,008.30/x
  3. Step 3: Cross multiply
    19,970.78x = 27,551.13 × 12,008.30
  4. Step 4: Simplify right side
    19,970.78x = 330,842,234.38
  5. Step 5: Solve for x
    x = 330,842,234.38/19,970.78
  6. Step 6: Final answer
    x = 16,566.32

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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.