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Finding the Fourth Proportional to 31,149.60, 42,986.16 and 19,208.16

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Solution

The fourth proportional to 31,149.60, 42,986.16 and 19,208.16 is: 26,507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.60 : 42,986.16 = 19,208.16 : x
  2. Step 2: Convert to fraction form
    31,149.60/42,986.16 = 19,208.16/x
  3. Step 3: Cross multiply
    31,149.60x = 42,986.16 × 19,208.16
  4. Step 4: Simplify right side
    31,149.60x = 825,685,039.07
  5. Step 5: Solve for x
    x = 825,685,039.07/31,149.60
  6. Step 6: Final answer
    x = 26,507.08

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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.