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Finding the Fourth Proportional to 19,978.20, 27,569.88 and 11,026.32

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Solution

The fourth proportional to 19,978.20, 27,569.88 and 11,026.32 is: 15,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.20 : 27,569.88 = 11,026.32 : x
  2. Step 2: Convert to fraction form
    19,978.20/27,569.88 = 11,026.32/x
  3. Step 3: Cross multiply
    19,978.20x = 27,569.88 × 11,026.32
  4. Step 4: Simplify right side
    19,978.20x = 303,994,319.24
  5. Step 5: Solve for x
    x = 303,994,319.24/19,978.20
  6. Step 6: Final answer
    x = 15,216.30

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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.