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Finding the Fourth Proportional to 46,643.80, 64,390 and 27,517.08

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Solution

The fourth proportional to 46,643.80, 64,390 and 27,517.08 is: 37,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,643.80 : 64,390 = 27,517.08 : x
  2. Step 2: Convert to fraction form
    46,643.80/64,390 = 27,517.08/x
  3. Step 3: Cross multiply
    46,643.80x = 64,390 × 27,517.08
  4. Step 4: Simplify right side
    46,643.80x = 1,771,824,781.20
  5. Step 5: Solve for x
    x = 1,771,824,781.20/46,643.80
  6. Step 6: Final answer
    x = 37,986.29

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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.