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Finding the Fourth Proportional to 30,866.44, 42,595.62 and 16,719.40

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Solution

The fourth proportional to 30,866.44, 42,595.62 and 16,719.40 is: 23,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.44 : 42,595.62 = 16,719.40 : x
  2. Step 2: Convert to fraction form
    30,866.44/42,595.62 = 16,719.40/x
  3. Step 3: Cross multiply
    30,866.44x = 42,595.62 × 16,719.40
  4. Step 4: Simplify right side
    30,866.44x = 712,173,209.03
  5. Step 5: Solve for x
    x = 712,173,209.03/30,866.44
  6. Step 6: Final answer
    x = 23,072.74

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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.