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Finding the Fourth Proportional to 19,783.80, 27,307.80 and 16,284.60

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Solution

The fourth proportional to 19,783.80, 27,307.80 and 16,284.60 is: 22,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.80 : 27,307.80 = 16,284.60 : x
  2. Step 2: Convert to fraction form
    19,783.80/27,307.80 = 16,284.60/x
  3. Step 3: Cross multiply
    19,783.80x = 27,307.80 × 16,284.60
  4. Step 4: Simplify right side
    19,783.80x = 444,696,599.88
  5. Step 5: Solve for x
    x = 444,696,599.88/19,783.80
  6. Step 6: Final answer
    x = 22,477.82

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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.