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Finding the Fourth Proportional to 19,978.64, 27,570.50 and 11,026.14

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Solution

The fourth proportional to 19,978.64, 27,570.50 and 11,026.14 is: 15,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.64 : 27,570.50 = 11,026.14 : x
  2. Step 2: Convert to fraction form
    19,978.64/27,570.50 = 11,026.14/x
  3. Step 3: Cross multiply
    19,978.64x = 27,570.50 × 11,026.14
  4. Step 4: Simplify right side
    19,978.64x = 303,996,192.87
  5. Step 5: Solve for x
    x = 303,996,192.87/19,978.64
  6. Step 6: Final answer
    x = 15,216.06

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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.