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Finding the Fourth Proportional to 19,978.90, 27,560.46 and 16,206.46

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Solution

The fourth proportional to 19,978.90, 27,560.46 and 16,206.46 is: 22,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.90 : 27,560.46 = 16,206.46 : x
  2. Step 2: Convert to fraction form
    19,978.90/27,560.46 = 16,206.46/x
  3. Step 3: Cross multiply
    19,978.90x = 27,560.46 × 16,206.46
  4. Step 4: Simplify right side
    19,978.90x = 446,657,492.57
  5. Step 5: Solve for x
    x = 446,657,492.57/19,978.90
  6. Step 6: Final answer
    x = 22,356.46

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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.