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Finding the Fourth Proportional to 42,866.80, 64,290.12 and 11,694.64

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Solution

The fourth proportional to 42,866.80, 64,290.12 and 11,694.64 is: 17,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,866.80 : 64,290.12 = 11,694.64 : x
  2. Step 2: Convert to fraction form
    42,866.80/64,290.12 = 11,694.64/x
  3. Step 3: Cross multiply
    42,866.80x = 64,290.12 × 11,694.64
  4. Step 4: Simplify right side
    42,866.80x = 751,849,808.96
  5. Step 5: Solve for x
    x = 751,849,808.96/42,866.80
  6. Step 6: Final answer
    x = 17,539.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.